Av(12435, 12453, 12543, 21435, 21453, 21543, 25143)
Counting Sequence
1, 1, 2, 6, 24, 113, 580, 3121, 17269, 97272, 554666, 3191159, 18484619, 107643393, 629548399, ...
This specification was found using the strategy pack "Point Placements Req Corrob" and has 207 rules.
Finding the specification took 38473 seconds.
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\(\begin{align*}
F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{1}\! \left(x \right) &= 1\\
F_{2}\! \left(x \right) &= F_{3}\! \left(x \right)\\
F_{3}\! \left(x \right) &= F_{25}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{4}\! \left(x \right) &= F_{5}\! \left(x \right)+F_{6}\! \left(x \right)\\
F_{5}\! \left(x \right) &= F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2\\
F_{6}\! \left(x \right) &= F_{2}\! \left(x \right)+F_{7}\! \left(x \right)\\
F_{7}\! \left(x \right) &= F_{8}\! \left(x \right)\\
F_{8}\! \left(x \right) &= F_{25}\! \left(x \right) F_{9}\! \left(x \right)\\
F_{9}\! \left(x \right) &= F_{10}\! \left(x \right)+F_{31}\! \left(x \right)\\
F_{10}\! \left(x \right) &= F_{11}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{11}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{5}\! \left(x \right)\\
F_{12}\! \left(x \right) &= F_{13}\! \left(x \right)\\
F_{13}\! \left(x \right) &= F_{14}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{14}\! \left(x \right) &= \frac{F_{15}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{15}\! \left(x \right) &= F_{16}\! \left(x \right)\\
F_{16}\! \left(x \right) &= F_{17}\! \left(x \right)\\
F_{17}\! \left(x \right) &= F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{18}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{26}\! \left(x \right)\\
F_{19}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{20}\! \left(x \right)\\
F_{20}\! \left(x \right) &= F_{21}\! \left(x \right)\\
F_{21}\! \left(x \right) &= F_{22}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{22}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{23}\! \left(x \right)\\
F_{23}\! \left(x \right) &= F_{24}\! \left(x \right)\\
F_{24}\! \left(x \right) &= F_{19}\! \left(x \right) F_{22}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{25}\! \left(x \right) &= x\\
F_{26}\! \left(x \right) &= F_{27}\! \left(x \right)\\
F_{27}\! \left(x \right) &= F_{25}\! \left(x \right) F_{28}\! \left(x \right)\\
F_{28}\! \left(x \right) &= \frac{F_{29}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{29}\! \left(x \right) &= F_{30}\! \left(x \right)\\
F_{30}\! \left(x \right) &= -F_{19}\! \left(x \right)+F_{11}\! \left(x \right)\\
F_{31}\! \left(x \right) &= F_{182}\! \left(x \right)+F_{32}\! \left(x \right)\\
F_{32}\! \left(x \right) &= F_{104}\! \left(x \right)+F_{33}\! \left(x \right)\\
F_{33}\! \left(x \right) &= F_{34}\! \left(x \right)\\
F_{34}\! \left(x \right) &= F_{25}\! \left(x \right) F_{35}\! \left(x \right)\\
F_{35}\! \left(x \right) &= F_{36}\! \left(x \right)+F_{40}\! \left(x \right)\\
F_{36}\! \left(x \right) &= F_{18}\! \left(x \right)+F_{37}\! \left(x \right)\\
F_{37}\! \left(x \right) &= -F_{40}\! \left(x \right)+F_{38}\! \left(x \right)\\
F_{38}\! \left(x \right) &= \frac{F_{39}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{39}\! \left(x \right) &= F_{7}\! \left(x \right)\\
F_{40}\! \left(x \right) &= F_{41}\! \left(x \right)+F_{72}\! \left(x \right)\\
F_{41}\! \left(x \right) &= F_{42}\! \left(x \right)\\
F_{42}\! \left(x \right) &= F_{25}\! \left(x \right) F_{35}\! \left(x \right) F_{43}\! \left(x \right)\\
F_{43}\! \left(x \right) &= \frac{F_{44}\! \left(x \right)}{F_{25}\! \left(x \right) F_{71}\! \left(x \right)}\\
F_{44}\! \left(x \right) &= F_{45}\! \left(x \right)\\
F_{45}\! \left(x \right) &= F_{46}\! \left(x \right)\\
F_{46}\! \left(x \right) &= F_{25}\! \left(x \right) F_{47}\! \left(x \right)\\
F_{47}\! \left(x \right) &= \frac{F_{48}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{48}\! \left(x \right) &= F_{49}\! \left(x \right)\\
F_{49}\! \left(x \right) &= -F_{19}\! \left(x \right)+F_{50}\! \left(x \right)\\
F_{50}\! \left(x \right) &= F_{51}\! \left(x \right)+F_{52}\! \left(x \right)\\
F_{51}\! \left(x \right) &= x^{2} F_{51} \left(x \right)^{2}+2 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+x^{2}-13 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}+8 x +4 F_{51}\! \left(x \right)-2\\
F_{52}\! \left(x \right) &= F_{53}\! \left(x \right)\\
F_{53}\! \left(x \right) &= F_{25}\! \left(x \right) F_{54}\! \left(x \right)\\
F_{54}\! \left(x \right) &= \frac{F_{55}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{55}\! \left(x \right) &= F_{56}\! \left(x \right)\\
F_{56}\! \left(x \right) &= \frac{F_{57}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{57}\! \left(x \right) &= -F_{69}\! \left(x \right)+F_{58}\! \left(x \right)\\
F_{58}\! \left(x \right) &= F_{59}\! \left(x \right)\\
F_{59}\! \left(x \right) &= F_{25}\! \left(x \right) F_{60}\! \left(x \right)\\
F_{60}\! \left(x \right) &= \frac{F_{61}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{61}\! \left(x \right) &= F_{62}\! \left(x \right)\\
F_{62}\! \left(x \right) &= F_{63}\! \left(x \right)+F_{67}\! \left(x \right)\\
F_{63}\! \left(x \right) &= F_{64}\! \left(x \right)+F_{65}\! \left(x \right)\\
F_{64}\! \left(x \right) &= x^{2} F_{64} \left(x \right)^{2}+4 x^{2} F_{64}\! \left(x \right)+4 x F_{64} \left(x \right)^{2}+4 x^{2}-5 x F_{64}\! \left(x \right)-F_{64} \left(x \right)^{2}-x +2 F_{64}\! \left(x \right)\\
F_{65}\! \left(x \right) &= F_{25}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{66}\! \left(x \right) &= F_{66}\! \left(x \right) x +F_{66} \left(x \right)^{2}+x\\
F_{67}\! \left(x \right) &= F_{25}\! \left(x \right) F_{68}\! \left(x \right)\\
F_{68}\! \left(x \right) &= F_{17}\! \left(x \right)\\
F_{69}\! \left(x \right) &= F_{66}\! \left(x \right)+F_{70}\! \left(x \right)\\
F_{70}\! \left(x \right) &= F_{25}\! \left(x \right) F_{64}\! \left(x \right)\\
F_{71}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{45}\! \left(x \right)\\
F_{72}\! \left(x \right) &= F_{73}\! \left(x \right)\\
F_{73}\! \left(x \right) &= F_{25}\! \left(x \right) F_{74}\! \left(x \right)\\
F_{74}\! \left(x \right) &= F_{75}\! \left(x \right)\\
F_{75}\! \left(x \right) &= F_{25}\! \left(x \right) F_{36}\! \left(x \right) F_{76}\! \left(x \right)\\
F_{76}\! \left(x \right) &= \frac{F_{77}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{77}\! \left(x \right) &= F_{78}\! \left(x \right)\\
F_{78}\! \left(x \right) &= -F_{47}\! \left(x \right)+F_{79}\! \left(x \right)\\
F_{79}\! \left(x \right) &= \frac{F_{80}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{80}\! \left(x \right) &= F_{81}\! \left(x \right)\\
F_{81}\! \left(x \right) &= F_{45}\! \left(x \right)+F_{82}\! \left(x \right)\\
F_{82}\! \left(x \right) &= -F_{26}\! \left(x \right)+F_{83}\! \left(x \right)\\
F_{83}\! \left(x \right) &= F_{84}\! \left(x \right)+F_{86}\! \left(x \right)\\
F_{84}\! \left(x \right) &= F_{66}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{85}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{25}\! \left(x \right)\\
F_{86}\! \left(x \right) &= F_{87}\! \left(x \right)\\
F_{87}\! \left(x \right) &= F_{25}\! \left(x \right) F_{88}\! \left(x \right)\\
F_{88}\! \left(x \right) &= F_{89}\! \left(x \right)+F_{97}\! \left(x \right)\\
F_{89}\! \left(x \right) &= F_{90}\! \left(x \right) F_{94}\! \left(x \right)\\
F_{90}\! \left(x \right) &= F_{91}\! \left(x \right)+F_{92}\! \left(x \right)\\
F_{91}\! \left(x \right) &= F_{19}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{92}\! \left(x \right) &= F_{93}\! \left(x \right)\\
F_{93}\! \left(x \right) &= F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{28}\! \left(x \right)\\
F_{94}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{95}\! \left(x \right)\\
F_{95}\! \left(x \right) &= F_{96}\! \left(x \right)\\
F_{96}\! \left(x \right) &= F_{25}\! \left(x \right) F_{43}\! \left(x \right)\\
F_{97}\! \left(x \right) &= F_{19}\! \left(x \right) F_{98}\! \left(x \right)\\
F_{98}\! \left(x \right) &= F_{100}\! \left(x \right)+F_{99}\! \left(x \right)\\
F_{99}\! \left(x \right) &= F_{66}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{100}\! \left(x \right) &= F_{101}\! \left(x \right)\\
F_{101}\! \left(x \right) &= F_{102}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{102}\! \left(x \right) &= F_{103}\! \left(x \right)\\
F_{103}\! \left(x \right) &= F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{76}\! \left(x \right)\\
F_{104}\! \left(x \right) &= F_{105}\! \left(x \right)\\
F_{105}\! \left(x \right) &= F_{106}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{106}\! \left(x \right) &= F_{107}\! \left(x \right)+F_{108}\! \left(x \right)\\
F_{107}\! \left(x \right) &= F_{35}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{108}\! \left(x \right) &= F_{109}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{109}\! \left(x \right) &= F_{110}\! \left(x \right)\\
F_{110}\! \left(x \right) &= -F_{5}\! \left(x \right)+F_{111}\! \left(x \right)\\
F_{111}\! \left(x \right) &= -F_{175}\! \left(x \right)+F_{112}\! \left(x \right)\\
F_{112}\! \left(x \right) &= F_{113}\! \left(x \right)+F_{114}\! \left(x \right)\\
F_{113}\! \left(x \right) &= F_{5} \left(x \right)^{2}\\
F_{114}\! \left(x \right) &= F_{115}\! \left(x \right)\\
F_{115}\! \left(x \right) &= \frac{F_{116}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{116}\! \left(x \right) &= F_{117}\! \left(x \right)\\
F_{117}\! \left(x \right) &= F_{118}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{118}\! \left(x \right) &= \frac{F_{119}\! \left(x \right)}{F_{22}\! \left(x \right)}\\
F_{119}\! \left(x \right) &= -F_{173}\! \left(x \right)+F_{120}\! \left(x \right)\\
F_{120}\! \left(x \right) &= \frac{F_{121}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{121}\! \left(x \right) &= F_{122}\! \left(x \right)\\
F_{122}\! \left(x \right) &= -F_{164}\! \left(x \right)+F_{123}\! \left(x \right)\\
F_{123}\! \left(x \right) &= F_{124}\! \left(x \right)\\
F_{124}\! \left(x \right) &= F_{125}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{125}\! \left(x \right) &= F_{126}\! \left(x \right)+F_{156}\! \left(x \right)\\
F_{126}\! \left(x \right) &= F_{127}\! \left(x \right)+F_{153}\! \left(x \right)\\
F_{127}\! \left(x \right) &= F_{128}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{128}\! \left(x \right) &= F_{129}\! \left(x \right)+F_{51}\! \left(x \right)\\
F_{129}\! \left(x \right) &= F_{130}\! \left(x \right)\\
F_{130}\! \left(x \right) &= F_{131}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{131}\! \left(x \right) &= F_{132}\! \left(x \right)+F_{149}\! \left(x \right)\\
F_{132}\! \left(x \right) &= -F_{143}\! \left(x \right)+F_{133}\! \left(x \right)\\
F_{133}\! \left(x \right) &= \frac{F_{134}\! \left(x \right)}{F_{25}\! \left(x \right) F_{43}\! \left(x \right)}\\
F_{134}\! \left(x \right) &= F_{135}\! \left(x \right)\\
F_{135}\! \left(x \right) &= -F_{138}\! \left(x \right)+F_{136}\! \left(x \right)\\
F_{136}\! \left(x \right) &= \frac{F_{137}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{137}\! \left(x \right) &= F_{81}\! \left(x \right)\\
F_{138}\! \left(x \right) &= -F_{141}\! \left(x \right)+F_{139}\! \left(x \right)\\
F_{139}\! \left(x \right) &= F_{140}\! \left(x \right)+F_{78}\! \left(x \right)\\
F_{140}\! \left(x \right) &= F_{43}\! \left(x \right) F_{71}\! \left(x \right)\\
F_{141}\! \left(x \right) &= F_{142}\! \left(x \right) F_{43}\! \left(x \right)\\
F_{142}\! \left(x \right) &= -F_{51}\! \left(x \right)+F_{71}\! \left(x \right)\\
F_{143}\! \left(x \right) &= F_{144}\! \left(x \right)\\
F_{144}\! \left(x \right) &= F_{145}\! \left(x \right) F_{25}\! \left(x \right) F_{71}\! \left(x \right)\\
F_{145}\! \left(x \right) &= -F_{148}\! \left(x \right)+F_{146}\! \left(x \right)\\
F_{146}\! \left(x \right) &= \frac{F_{147}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{147}\! \left(x \right) &= F_{129}\! \left(x \right)\\
F_{148}\! \left(x \right) &= -F_{22}\! \left(x \right)+F_{132}\! \left(x \right)\\
F_{149}\! \left(x \right) &= F_{150}\! \left(x \right)\\
F_{150}\! \left(x \right) &= F_{151}\! \left(x \right) F_{19}\! \left(x \right)\\
F_{151}\! \left(x \right) &= F_{152}\! \left(x \right)\\
F_{152}\! \left(x \right) &= F_{145}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{153}\! \left(x \right) &= F_{154}\! \left(x \right) F_{22}\! \left(x \right)\\
F_{154}\! \left(x \right) &= F_{155}\! \left(x \right)\\
F_{155}\! \left(x \right) &= F_{111}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{156}\! \left(x \right) &= F_{157}\! \left(x \right)\\
F_{157}\! \left(x \right) &= F_{158}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{158}\! \left(x \right) &= F_{159}\! \left(x \right)+F_{162}\! \left(x \right)\\
F_{159}\! \left(x \right) &= F_{11}\! \left(x \right) F_{160}\! \left(x \right)\\
F_{160}\! \left(x \right) &= \frac{F_{161}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{161}\! \left(x \right) &= F_{123}\! \left(x \right)\\
F_{162}\! \left(x \right) &= F_{163}\! \left(x \right)\\
F_{163}\! \left(x \right) &= F_{118}\! \left(x \right) F_{18}\! \left(x \right) F_{22}\! \left(x \right)\\
F_{164}\! \left(x \right) &= F_{165}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{165}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{166}\! \left(x \right)\\
F_{166}\! \left(x \right) &= F_{167}\! \left(x \right)\\
F_{167}\! \left(x \right) &= F_{168}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{168}\! \left(x \right) &= F_{165}\! \left(x \right)+F_{169}\! \left(x \right)\\
F_{169}\! \left(x \right) &= F_{170}\! \left(x \right)\\
F_{170}\! \left(x \right) &= F_{171}\! \left(x \right)\\
F_{171}\! \left(x \right) &= F_{172}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{172}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{170}\! \left(x \right)\\
F_{173}\! \left(x \right) &= F_{11}\! \left(x \right) F_{174}\! \left(x \right)\\
F_{174}\! \left(x \right) &= -F_{165}\! \left(x \right)+F_{128}\! \left(x \right)\\
F_{175}\! \left(x \right) &= F_{176}\! \left(x \right)+F_{177}\! \left(x \right)\\
F_{176}\! \left(x \right) &= F_{5}\! \left(x \right) F_{66}\! \left(x \right)\\
F_{177}\! \left(x \right) &= F_{178}\! \left(x \right)\\
F_{178}\! \left(x \right) &= F_{179}\! \left(x \right) F_{180}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{179}\! \left(x \right) &= F_{20}\! \left(x \right)+F_{26}\! \left(x \right)\\
F_{180}\! \left(x \right) &= \frac{F_{181}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{181}\! \left(x \right) &= F_{109}\! \left(x \right)\\
F_{182}\! \left(x \right) &= F_{183}\! \left(x \right)\\
F_{183}\! \left(x \right) &= F_{184}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{184}\! \left(x \right) &= F_{185}\! \left(x \right)+F_{198}\! \left(x \right)\\
F_{185}\! \left(x \right) &= F_{186}\! \left(x \right)+F_{197}\! \left(x \right)\\
F_{186}\! \left(x \right) &= F_{187}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{187}\! \left(x \right) &= F_{188}\! \left(x \right)\\
F_{188}\! \left(x \right) &= F_{189}\! \left(x \right) F_{19}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{189}\! \left(x \right) &= \frac{F_{190}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{190}\! \left(x \right) &= F_{191}\! \left(x \right)\\
F_{191}\! \left(x \right) &= F_{192}\! \left(x \right)+F_{193}\! \left(x \right)\\
F_{192}\! \left(x \right) &= F_{154}\! \left(x \right) F_{19}\! \left(x \right)\\
F_{193}\! \left(x \right) &= -F_{196}\! \left(x \right)+F_{194}\! \left(x \right)\\
F_{194}\! \left(x \right) &= \frac{F_{195}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{195}\! \left(x \right) &= F_{117}\! \left(x \right)\\
F_{196}\! \left(x \right) &= F_{118}\! \left(x \right) F_{19}\! \left(x \right)\\
F_{197}\! \left(x \right) &= F_{20}\! \left(x \right) F_{40}\! \left(x \right) F_{5}\! \left(x \right)\\
F_{198}\! \left(x \right) &= F_{199}\! \left(x \right)\\
F_{199}\! \left(x \right) &= F_{19}\! \left(x \right) F_{200}\! \left(x \right) F_{25}\! \left(x \right)\\
F_{200}\! \left(x \right) &= \frac{F_{201}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{201}\! \left(x \right) &= F_{202}\! \left(x \right)\\
F_{202}\! \left(x \right) &= -F_{206}\! \left(x \right)+F_{203}\! \left(x \right)\\
F_{203}\! \left(x \right) &= \frac{F_{204}\! \left(x \right)}{F_{25}\! \left(x \right)}\\
F_{204}\! \left(x \right) &= F_{205}\! \left(x \right)\\
F_{205}\! \left(x \right) &= F_{11}\! \left(x \right) F_{25}\! \left(x \right) F_{38}\! \left(x \right)\\
F_{206}\! \left(x \right) &= F_{16}\! \left(x \right) F_{4}\! \left(x \right)\\
\end{align*}\)
This specification was found using the strategy pack "Point Placements Req Corrob" and has 243 rules.
Finding the specification took 17999 seconds.
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Copy 243 equations to clipboard:
\(\begin{align*}
F_{0}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{2}\! \left(x \right)\\
F_{1}\! \left(x \right) &= 1\\
F_{2}\! \left(x \right) &= F_{3}\! \left(x \right)\\
F_{3}\! \left(x \right) &= F_{26}\! \left(x \right) F_{4}\! \left(x \right)\\
F_{4}\! \left(x \right) &= F_{0}\! \left(x \right)+F_{5}\! \left(x \right)\\
F_{5}\! \left(x \right) &= F_{6}\! \left(x \right)+F_{7}\! \left(x \right)\\
F_{6}\! \left(x \right) &= F_{6}\! \left(x \right) x +F_{6} \left(x \right)^{2}+x\\
F_{7}\! \left(x \right) &= F_{8}\! \left(x \right)\\
F_{8}\! \left(x \right) &= F_{26}\! \left(x \right) F_{9}\! \left(x \right)\\
F_{9}\! \left(x \right) &= F_{10}\! \left(x \right)+F_{32}\! \left(x \right)\\
F_{10}\! \left(x \right) &= F_{11}\! \left(x \right) F_{2}\! \left(x \right)\\
F_{11}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{13}\! \left(x \right)\\
F_{12}\! \left(x \right) &= F_{12}\! \left(x \right) x +F_{12} \left(x \right)^{2}-2 F_{12}\! \left(x \right)+2\\
F_{13}\! \left(x \right) &= F_{14}\! \left(x \right)\\
F_{14}\! \left(x \right) &= F_{15}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{15}\! \left(x \right) &= \frac{F_{16}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{16}\! \left(x \right) &= F_{17}\! \left(x \right)\\
F_{17}\! \left(x \right) &= F_{18}\! \left(x \right)\\
F_{18}\! \left(x \right) &= F_{11}\! \left(x \right) F_{19}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{19}\! \left(x \right) &= F_{20}\! \left(x \right)+F_{27}\! \left(x \right)\\
F_{20}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{21}\! \left(x \right)\\
F_{21}\! \left(x \right) &= F_{22}\! \left(x \right)\\
F_{22}\! \left(x \right) &= F_{23}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{23}\! \left(x \right) &= F_{20}\! \left(x \right)+F_{24}\! \left(x \right)\\
F_{24}\! \left(x \right) &= F_{25}\! \left(x \right)\\
F_{25}\! \left(x \right) &= F_{20}\! \left(x \right) F_{23}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{26}\! \left(x \right) &= x\\
F_{27}\! \left(x \right) &= F_{28}\! \left(x \right)\\
F_{28}\! \left(x \right) &= F_{26}\! \left(x \right) F_{29}\! \left(x \right)\\
F_{29}\! \left(x \right) &= \frac{F_{30}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{30}\! \left(x \right) &= F_{31}\! \left(x \right)\\
F_{31}\! \left(x \right) &= -F_{20}\! \left(x \right)+F_{11}\! \left(x \right)\\
F_{32}\! \left(x \right) &= F_{218}\! \left(x \right)+F_{33}\! \left(x \right)\\
F_{33}\! \left(x \right) &= F_{108}\! \left(x \right)+F_{34}\! \left(x \right)\\
F_{34}\! \left(x \right) &= F_{35}\! \left(x \right)\\
F_{35}\! \left(x \right) &= F_{26}\! \left(x \right) F_{36}\! \left(x \right)\\
F_{36}\! \left(x \right) &= F_{37}\! \left(x \right)+F_{41}\! \left(x \right)\\
F_{37}\! \left(x \right) &= F_{19}\! \left(x \right)+F_{38}\! \left(x \right)\\
F_{38}\! \left(x \right) &= -F_{41}\! \left(x \right)+F_{39}\! \left(x \right)\\
F_{39}\! \left(x \right) &= \frac{F_{40}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{40}\! \left(x \right) &= F_{7}\! \left(x \right)\\
F_{41}\! \left(x \right) &= F_{104}\! \left(x \right)+F_{42}\! \left(x \right)\\
F_{42}\! \left(x \right) &= F_{34}\! \left(x \right)+F_{43}\! \left(x \right)\\
F_{43}\! \left(x \right) &= F_{44}\! \left(x \right)+F_{70}\! \left(x \right)\\
F_{44}\! \left(x \right) &= -F_{64}\! \left(x \right)+F_{45}\! \left(x \right)\\
F_{45}\! \left(x \right) &= F_{46}\! \left(x \right)\\
F_{46}\! \left(x \right) &= F_{26}\! \left(x \right) F_{47}\! \left(x \right)\\
F_{47}\! \left(x \right) &= \frac{F_{48}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{48}\! \left(x \right) &= F_{49}\! \left(x \right)\\
F_{49}\! \left(x \right) &= -F_{20}\! \left(x \right)+F_{50}\! \left(x \right)\\
F_{50}\! \left(x \right) &= F_{51}\! \left(x \right)+F_{52}\! \left(x \right)\\
F_{51}\! \left(x \right) &= x^{2} F_{51} \left(x \right)^{2}+2 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+x^{2}-13 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}+8 x +4 F_{51}\! \left(x \right)-2\\
F_{52}\! \left(x \right) &= F_{53}\! \left(x \right)\\
F_{53}\! \left(x \right) &= F_{26}\! \left(x \right) F_{54}\! \left(x \right)\\
F_{54}\! \left(x \right) &= \frac{F_{55}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{55}\! \left(x \right) &= F_{56}\! \left(x \right)\\
F_{56}\! \left(x \right) &= \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{57}\! \left(x \right) &= -F_{68}\! \left(x \right)+F_{58}\! \left(x \right)\\
F_{58}\! \left(x \right) &= F_{59}\! \left(x \right)\\
F_{59}\! \left(x \right) &= F_{26}\! \left(x \right) F_{60}\! \left(x \right)\\
F_{60}\! \left(x \right) &= \frac{F_{61}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{61}\! \left(x \right) &= F_{62}\! \left(x \right)\\
F_{62}\! \left(x \right) &= F_{63}\! \left(x \right)+F_{66}\! \left(x \right)\\
F_{63}\! \left(x \right) &= F_{64}\! \left(x \right)+F_{65}\! \left(x \right)\\
F_{64}\! \left(x \right) &= x^{2} F_{64} \left(x \right)^{2}+4 x^{2} F_{64}\! \left(x \right)+4 x F_{64} \left(x \right)^{2}+4 x^{2}-5 x F_{64}\! \left(x \right)-F_{64} \left(x \right)^{2}-x +2 F_{64}\! \left(x \right)\\
F_{65}\! \left(x \right) &= F_{26}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{66}\! \left(x \right) &= F_{26}\! \left(x \right) F_{67}\! \left(x \right)\\
F_{67}\! \left(x \right) &= F_{18}\! \left(x \right)\\
F_{68}\! \left(x \right) &= F_{6}\! \left(x \right)+F_{69}\! \left(x \right)\\
F_{69}\! \left(x \right) &= F_{26}\! \left(x \right) F_{64}\! \left(x \right)\\
F_{70}\! \left(x \right) &= F_{71}\! \left(x \right)\\
F_{71}\! \left(x \right) &= F_{26}\! \left(x \right) F_{72}\! \left(x \right) F_{88}\! \left(x \right)\\
F_{72}\! \left(x \right) &= F_{102}\! \left(x \right)+F_{73}\! \left(x \right)\\
F_{73}\! \left(x \right) &= F_{74}\! \left(x \right)+F_{76}\! \left(x \right)\\
F_{74}\! \left(x \right) &= F_{6}\! \left(x \right) F_{75}\! \left(x \right)\\
F_{75}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{26}\! \left(x \right)\\
F_{76}\! \left(x \right) &= F_{77}\! \left(x \right)\\
F_{77}\! \left(x \right) &= F_{26}\! \left(x \right) F_{78}\! \left(x \right)\\
F_{78}\! \left(x \right) &= F_{79}\! \left(x \right)+F_{90}\! \left(x \right)\\
F_{79}\! \left(x \right) &= F_{80}\! \left(x \right) F_{84}\! \left(x \right)\\
F_{80}\! \left(x \right) &= F_{81}\! \left(x \right)+F_{82}\! \left(x \right)\\
F_{81}\! \left(x \right) &= F_{20}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{82}\! \left(x \right) &= F_{83}\! \left(x \right)\\
F_{83}\! \left(x \right) &= F_{19}\! \left(x \right) F_{26}\! \left(x \right) F_{29}\! \left(x \right)\\
F_{84}\! \left(x \right) &= F_{20}\! \left(x \right)+F_{85}\! \left(x \right)\\
F_{85}\! \left(x \right) &= F_{26}\! \left(x \right)+F_{86}\! \left(x \right)\\
F_{86}\! \left(x \right) &= F_{87}\! \left(x \right)\\
F_{87}\! \left(x \right) &= F_{26}\! \left(x \right) F_{88}\! \left(x \right)\\
F_{88}\! \left(x \right) &= \frac{F_{89}\! \left(x \right)}{F_{26}\! \left(x \right) F_{36}\! \left(x \right)}\\
F_{89}\! \left(x \right) &= F_{43}\! \left(x \right)\\
F_{90}\! \left(x \right) &= F_{20}\! \left(x \right) F_{91}\! \left(x \right)\\
F_{91}\! \left(x \right) &= F_{92}\! \left(x \right)+F_{93}\! \left(x \right)\\
F_{92}\! \left(x \right) &= F_{6}\! \left(x \right) F_{85}\! \left(x \right)\\
F_{93}\! \left(x \right) &= F_{94}\! \left(x \right)\\
F_{94}\! \left(x \right) &= F_{26}\! \left(x \right) F_{95}\! \left(x \right)\\
F_{95}\! \left(x \right) &= F_{96}\! \left(x \right)\\
F_{96}\! \left(x \right) &= F_{19}\! \left(x \right) F_{26}\! \left(x \right) F_{97}\! \left(x \right)\\
F_{97}\! \left(x \right) &= \frac{F_{98}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{98}\! \left(x \right) &= F_{99}\! \left(x \right)\\
F_{99}\! \left(x \right) &= \frac{F_{100}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{100}\! \left(x \right) &= F_{101}\! \left(x \right)\\
F_{101}\! \left(x \right) &= -F_{27}\! \left(x \right)+F_{73}\! \left(x \right)\\
F_{102}\! \left(x \right) &= -F_{103}\! \left(x \right)+F_{39}\! \left(x \right)\\
F_{103}\! \left(x \right) &= F_{101}\! \left(x \right)+F_{45}\! \left(x \right)\\
F_{104}\! \left(x \right) &= F_{105}\! \left(x \right)\\
F_{105}\! \left(x \right) &= F_{106}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{106}\! \left(x \right) &= F_{107}\! \left(x \right)\\
F_{107}\! \left(x \right) &= F_{26}\! \left(x \right) F_{37}\! \left(x \right) F_{97}\! \left(x \right)\\
F_{108}\! \left(x \right) &= F_{109}\! \left(x \right)\\
F_{109}\! \left(x \right) &= F_{110}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{110}\! \left(x \right) &= F_{111}\! \left(x \right)+F_{112}\! \left(x \right)\\
F_{111}\! \left(x \right) &= F_{36}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{112}\! \left(x \right) &= F_{113}\! \left(x \right) F_{37}\! \left(x \right)\\
F_{113}\! \left(x \right) &= -F_{12}\! \left(x \right)+F_{114}\! \left(x \right)\\
F_{114}\! \left(x \right) &= -F_{211}\! \left(x \right)+F_{115}\! \left(x \right)\\
F_{115}\! \left(x \right) &= F_{116}\! \left(x \right)+F_{117}\! \left(x \right)\\
F_{116}\! \left(x \right) &= F_{12} \left(x \right)^{2}\\
F_{117}\! \left(x \right) &= F_{118}\! \left(x \right)\\
F_{118}\! \left(x \right) &= \frac{F_{119}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{119}\! \left(x \right) &= F_{120}\! \left(x \right)\\
F_{120}\! \left(x \right) &= F_{121}\! \left(x \right) F_{19}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{121}\! \left(x \right) &= \frac{F_{122}\! \left(x \right)}{F_{23}\! \left(x \right)}\\
F_{122}\! \left(x \right) &= -F_{209}\! \left(x \right)+F_{123}\! \left(x \right)\\
F_{123}\! \left(x \right) &= \frac{F_{124}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{124}\! \left(x \right) &= F_{125}\! \left(x \right)\\
F_{125}\! \left(x \right) &= -F_{203}\! \left(x \right)+F_{126}\! \left(x \right)\\
F_{126}\! \left(x \right) &= F_{127}\! \left(x \right)\\
F_{127}\! \left(x \right) &= F_{128}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{128}\! \left(x \right) &= F_{129}\! \left(x \right)+F_{195}\! \left(x \right)\\
F_{129}\! \left(x \right) &= F_{130}\! \left(x \right)+F_{192}\! \left(x \right)\\
F_{130}\! \left(x \right) &= F_{12}\! \left(x \right) F_{131}\! \left(x \right)\\
F_{131}\! \left(x \right) &= F_{132}\! \left(x \right)+F_{51}\! \left(x \right)\\
F_{132}\! \left(x \right) &= F_{133}\! \left(x \right)\\
F_{133}\! \left(x \right) &= F_{134}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{134}\! \left(x \right) &= F_{135}\! \left(x \right)+F_{188}\! \left(x \right)\\
F_{135}\! \left(x \right) &= F_{136}\! \left(x \right)+F_{140}\! \left(x \right)\\
F_{136}\! \left(x \right) &= F_{137}\! \left(x \right) F_{51}\! \left(x \right)\\
F_{137}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{138}\! \left(x \right)\\
F_{138}\! \left(x \right) &= F_{139}\! \left(x \right)\\
F_{139}\! \left(x \right) &= F_{137}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{140}\! \left(x \right) &= \frac{F_{141}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{141}\! \left(x \right) &= -F_{187}\! \left(x \right)+F_{142}\! \left(x \right)\\
F_{142}\! \left(x \right) &= F_{143}\! \left(x \right)\\
F_{143}\! \left(x \right) &= F_{144}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{144}\! \left(x \right) &= -F_{180}\! \left(x \right)+F_{145}\! \left(x \right)\\
F_{145}\! \left(x \right) &= \frac{F_{146}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{146}\! \left(x \right) &= F_{147}\! \left(x \right)\\
F_{147}\! \left(x \right) &= F_{148}\! \left(x \right)+F_{179}\! \left(x \right)\\
F_{148}\! \left(x \right) &= -F_{173}\! \left(x \right)+F_{149}\! \left(x \right)\\
F_{149}\! \left(x \right) &= -F_{165}\! \left(x \right)+F_{150}\! \left(x \right)\\
F_{150}\! \left(x \right) &= F_{151}\! \left(x \right)+F_{158}\! \left(x \right)\\
F_{151}\! \left(x \right) &= -F_{155}\! \left(x \right)+F_{152}\! \left(x \right)\\
F_{152}\! \left(x \right) &= \frac{F_{153}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{153}\! \left(x \right) &= F_{154}\! \left(x \right)\\
F_{154}\! \left(x \right) &= -F_{63}\! \left(x \right)+F_{103}\! \left(x \right)\\
F_{155}\! \left(x \right) &= F_{156}\! \left(x \right)+F_{157}\! \left(x \right)\\
F_{156}\! \left(x \right) &= -F_{21}\! \left(x \right)+F_{88}\! \left(x \right)\\
F_{157}\! \left(x \right) &= -F_{27}\! \left(x \right)+F_{99}\! \left(x \right)\\
F_{158}\! \left(x \right) &= F_{159}\! \left(x \right)\\
F_{159}\! \left(x \right) &= F_{11}\! \left(x \right) F_{160}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{160}\! \left(x \right) &= F_{161}\! \left(x \right)\\
F_{161}\! \left(x \right) &= F_{162}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{162}\! \left(x \right) &= \frac{F_{163}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{163}\! \left(x \right) &= F_{164}\! \left(x \right)\\
F_{164}\! \left(x \right) &= F_{158}\! \left(x \right)+F_{67}\! \left(x \right)\\
F_{165}\! \left(x \right) &= -F_{56}\! \left(x \right)+F_{166}\! \left(x \right)\\
F_{166}\! \left(x \right) &= -F_{169}\! \left(x \right)+F_{167}\! \left(x \right)\\
F_{167}\! \left(x \right) &= \frac{F_{168}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{168}\! \left(x \right) &= F_{103}\! \left(x \right)\\
F_{169}\! \left(x \right) &= F_{170}\! \left(x \right)+F_{45}\! \left(x \right)\\
F_{170}\! \left(x \right) &= \frac{F_{171}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{171}\! \left(x \right) &= F_{172}\! \left(x \right)\\
F_{172}\! \left(x \right) &= F_{101}\! \left(x \right)+F_{85}\! \left(x \right)\\
F_{173}\! \left(x \right) &= -F_{177}\! \left(x \right)+F_{174}\! \left(x \right)\\
F_{174}\! \left(x \right) &= F_{175}\! \left(x \right)+F_{27}\! \left(x \right)\\
F_{175}\! \left(x \right) &= -F_{176}\! \left(x \right)+F_{164}\! \left(x \right)\\
F_{176}\! \left(x \right) &= F_{137}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{177}\! \left(x \right) &= -F_{12}\! \left(x \right)+F_{178}\! \left(x \right)\\
F_{178}\! \left(x \right) &= F_{12}\! \left(x \right)+F_{67}\! \left(x \right)\\
F_{179}\! \left(x \right) &= F_{138}\! \left(x \right) F_{17}\! \left(x \right)\\
F_{180}\! \left(x \right) &= F_{181}\! \left(x \right)\\
F_{181}\! \left(x \right) &= F_{182}\! \left(x \right) F_{183}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{182}\! \left(x \right) &= F_{20}\! \left(x \right)+F_{45}\! \left(x \right)\\
F_{183}\! \left(x \right) &= -F_{186}\! \left(x \right)+F_{184}\! \left(x \right)\\
F_{184}\! \left(x \right) &= \frac{F_{185}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{185}\! \left(x \right) &= F_{132}\! \left(x \right)\\
F_{186}\! \left(x \right) &= -F_{23}\! \left(x \right)+F_{135}\! \left(x \right)\\
F_{187}\! \left(x \right) &= F_{137}\! \left(x \right) F_{68}\! \left(x \right)\\
F_{188}\! \left(x \right) &= F_{189}\! \left(x \right)\\
F_{189}\! \left(x \right) &= F_{190}\! \left(x \right) F_{20}\! \left(x \right)\\
F_{190}\! \left(x \right) &= F_{191}\! \left(x \right)\\
F_{191}\! \left(x \right) &= F_{183}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{192}\! \left(x \right) &= F_{193}\! \left(x \right) F_{23}\! \left(x \right)\\
F_{193}\! \left(x \right) &= F_{194}\! \left(x \right)\\
F_{194}\! \left(x \right) &= F_{114}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{195}\! \left(x \right) &= F_{196}\! \left(x \right)\\
F_{196}\! \left(x \right) &= F_{197}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{197}\! \left(x \right) &= F_{198}\! \left(x \right)+F_{201}\! \left(x \right)\\
F_{198}\! \left(x \right) &= F_{11}\! \left(x \right) F_{199}\! \left(x \right)\\
F_{199}\! \left(x \right) &= \frac{F_{200}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{200}\! \left(x \right) &= F_{126}\! \left(x \right)\\
F_{201}\! \left(x \right) &= F_{202}\! \left(x \right)\\
F_{202}\! \left(x \right) &= F_{121}\! \left(x \right) F_{19}\! \left(x \right) F_{23}\! \left(x \right)\\
F_{203}\! \left(x \right) &= F_{204}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{204}\! \left(x \right) &= F_{1}\! \left(x \right)+F_{205}\! \left(x \right)\\
F_{205}\! \left(x \right) &= F_{206}\! \left(x \right)\\
F_{206}\! \left(x \right) &= F_{207}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{207}\! \left(x \right) &= F_{204}\! \left(x \right)+F_{208}\! \left(x \right)\\
F_{208}\! \left(x \right) &= F_{138}\! \left(x \right)\\
F_{209}\! \left(x \right) &= F_{11}\! \left(x \right) F_{210}\! \left(x \right)\\
F_{210}\! \left(x \right) &= -F_{204}\! \left(x \right)+F_{131}\! \left(x \right)\\
F_{211}\! \left(x \right) &= F_{212}\! \left(x \right)+F_{213}\! \left(x \right)\\
F_{212}\! \left(x \right) &= F_{12}\! \left(x \right) F_{6}\! \left(x \right)\\
F_{213}\! \left(x \right) &= F_{214}\! \left(x \right)\\
F_{214}\! \left(x \right) &= F_{215}\! \left(x \right) F_{216}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{215}\! \left(x \right) &= F_{21}\! \left(x \right)+F_{27}\! \left(x \right)\\
F_{216}\! \left(x \right) &= \frac{F_{217}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{217}\! \left(x \right) &= F_{113}\! \left(x \right)\\
F_{218}\! \left(x \right) &= F_{219}\! \left(x \right)\\
F_{219}\! \left(x \right) &= F_{220}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{220}\! \left(x \right) &= F_{221}\! \left(x \right)+F_{234}\! \left(x \right)\\
F_{221}\! \left(x \right) &= F_{222}\! \left(x \right)+F_{233}\! \left(x \right)\\
F_{222}\! \left(x \right) &= F_{223}\! \left(x \right) F_{37}\! \left(x \right)\\
F_{223}\! \left(x \right) &= F_{224}\! \left(x \right)\\
F_{224}\! \left(x \right) &= F_{20}\! \left(x \right) F_{225}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{225}\! \left(x \right) &= \frac{F_{226}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{226}\! \left(x \right) &= F_{227}\! \left(x \right)\\
F_{227}\! \left(x \right) &= F_{228}\! \left(x \right)+F_{229}\! \left(x \right)\\
F_{228}\! \left(x \right) &= F_{193}\! \left(x \right) F_{20}\! \left(x \right)\\
F_{229}\! \left(x \right) &= -F_{232}\! \left(x \right)+F_{230}\! \left(x \right)\\
F_{230}\! \left(x \right) &= \frac{F_{231}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{231}\! \left(x \right) &= F_{120}\! \left(x \right)\\
F_{232}\! \left(x \right) &= F_{121}\! \left(x \right) F_{20}\! \left(x \right)\\
F_{233}\! \left(x \right) &= F_{12}\! \left(x \right) F_{21}\! \left(x \right) F_{41}\! \left(x \right)\\
F_{234}\! \left(x \right) &= F_{235}\! \left(x \right)\\
F_{235}\! \left(x \right) &= F_{20}\! \left(x \right) F_{236}\! \left(x \right) F_{26}\! \left(x \right)\\
F_{236}\! \left(x \right) &= \frac{F_{237}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{237}\! \left(x \right) &= F_{238}\! \left(x \right)\\
F_{238}\! \left(x \right) &= -F_{242}\! \left(x \right)+F_{239}\! \left(x \right)\\
F_{239}\! \left(x \right) &= \frac{F_{240}\! \left(x \right)}{F_{26}\! \left(x \right)}\\
F_{240}\! \left(x \right) &= F_{241}\! \left(x \right)\\
F_{241}\! \left(x \right) &= F_{11}\! \left(x \right) F_{26}\! \left(x \right) F_{39}\! \left(x \right)\\
F_{242}\! \left(x \right) &= F_{17}\! \left(x \right) F_{4}\! \left(x \right)\\
\end{align*}\)