1, 1, 2, 6, 24, 113, 582, 3158, 17731, 102032, 598321, 3561824, 21467078, 130724961, 803073997, ...

\(\displaystyle x^{3} \left(2 x -1\right)^{2} F \left(x \right)^{6}-x^{3} \left(x^{2}-9 x +5\right) F \left(x \right)^{5}+x^{2} \left(2 x^{2}-6 x +5\right) F \left(x \right)^{4}+\left(7 x^{3}-7 x^{2}-x -1\right) F \left(x \right)^{3}+\left(x^{2}+2 x +5\right) F \left(x \right)^{2}-8 F \! \left(x \right)+4 = 0\)

\(\displaystyle a(0) = 1\)
\(\displaystyle a(1) = 1\)
\(\displaystyle a(2) = 2\)
\(\displaystyle a(3) = 6\)
\(\displaystyle a(4) = 24\)
\(\displaystyle a(5) = 113\)
\(\displaystyle a(6) = 582\)
\(\displaystyle a(7) = 3158\)
\(\displaystyle a(8) = 17731\)
\(\displaystyle a(9) = 102032\)
\(\displaystyle a(10) = 598321\)
\(\displaystyle a(11) = 3561824\)
\(\displaystyle a(12) = 21467078\)
\(\displaystyle a(13) = 130724961\)
\(\displaystyle a(14) = 803073997\)
\(\displaystyle a(15) = 4970891091\)
\(\displaystyle a(16) = 30972031724\)
\(\displaystyle a(17) = 194095532363\)
\(\displaystyle a(18) = 1222602891594\)
\(\displaystyle a(19) = 7736413851719\)
\(\displaystyle a(20) = 49155904557088\)
\(\displaystyle a(21) = 313487630490403\)
\(\displaystyle a(22) = 2005972365583081\)
\(\displaystyle a(23) = 12875384456060192\)
\(\displaystyle a(24) = 82873087447180172\)
\(\displaystyle a(25) = 534793301447058200\)
\(\displaystyle a(26) = 3459315646564247541\)
\(\displaystyle a(27) = 22425840371017042461\)
\(\displaystyle a(28) = 145677504338173301474\)
\(\displaystyle a(29) = 948112031345484003876\)
\(\displaystyle a(30) = 6181511055740448811612\)
\(\displaystyle a(31) = 40368939696039720299263\)
\(\displaystyle a(32) = 264041603319587236010982\)
\(\displaystyle a(33) = 1729531609887278159937355\)
\(\displaystyle a(34) = 11344314120186140556066704\)
\(\displaystyle a(35) = 74505323316636824051940827\)
\(\displaystyle a(36) = 489919012488536046876548784\)
\(\displaystyle a(37) = 3225227788391863582897838126\)
\(\displaystyle a(38) = 21255390041324830231373482295\)
\(\displaystyle a(39) = 140225141645607221860616479385\)
\(\displaystyle a(40) = 925994072743327621612323645132\)
\(\displaystyle a(41) = 6120615451612021835459115613290\)
\(\displaystyle a(42) = 40491803096117120496369540834949\)
\(\displaystyle a(43) = 268105798159990225240335594716635\)
\(\displaystyle a(44) = 1776624063306301554066652503780406\)
\(\displaystyle a(45) = 11782011004013267562214775316252798\)
\(\displaystyle a(46) = 78192157452283987994584044146998779\)
\(\displaystyle a(47) = 519293800467930422027091240138665473\)
\(\displaystyle a(48) = 3451090864842285034070605583446424020\)
\(\displaystyle a(49) = 22949905578362633871724594948608356747\)
\(\displaystyle a(50) = 152712761946725437106233619820892720283\)
\(\displaystyle a(51) = 1016784738120521306488538957770610663474\)
\(\displaystyle a(52) = 6773793018287601708701002373093144631885\)
\(\displaystyle a(53) = 45151748374933547869102001405975994500360\)
\(\displaystyle a(54) = 301125842380376168763381794517150667518917\)
\(\displaystyle a(55) = 2009295637088538548710804588222801110012783\)
\(\displaystyle a(56) = 13413867686021429675489867679409499215229032\)
\(\displaystyle a(57) = 89592362433091534978344596790330818209877379\)
\(\displaystyle a(58) = 598670110888126882537125350441193952799559522\)
\(\displaystyle a(59) = 4002183269353743905198062998078215716451346563\)
\(\displaystyle a(60) = 26766569247337602113180917220474520755779965692\)
\(\displaystyle a(61) = 179088889306884745636370368197179206758666050838\)
\(\displaystyle a(62) = 1198723236862947954514405192914022011483670452698\)
\(\displaystyle a(63) = 8026717639024613693726900752741455863778304746875\)
\(\displaystyle a(64) = 53767584134074548383860173356094011873635162316656\)
\(\displaystyle a(65) = 360297690355071897038730034934556883012839270684590\)
\(\displaystyle a(66) = 2415216254052220046075505908182967352171329048223550\)
\(\displaystyle a(67) = 16195693422481733376914002049640375677256060611018485\)
\(\displaystyle a(68) = 108639471887995911685544722825852419069070761447259570\)
\(\displaystyle a(69) = 728980826218485531372000672490106534135939588350698667\)
\(\displaystyle a(70) = 4893063986720997641048196170835066526002178771064726402\)
\(\displaystyle a(71) = 32853236042502190780431692494962699768753992693068994534\)
\(\displaystyle a(72) = 220650127998015402365139259569854026299631691677951094055\)
\(\displaystyle a(73) = 1482365976390819012215684299583542620119486188107159969259\)
\(\displaystyle a(74) = 9961586642464036116744044123568264166726550401001036331820\)
\(\displaystyle a(75) = 66960726018761402176389210123529292929240983445746355121387\)
\(\displaystyle a(76) = 450222520269304368598599253871548296493531238993327429594153\)
\(\displaystyle a(77) = 3027935968838629581726396237444934406539922915089193978221815\)
\(\displaystyle a(78) = 20369279830794057544506512429943164400619658533929449854140420\)
\(\displaystyle a(79) = 137060209646129677605015897376294070357082420512416880045122900\)
\(\displaystyle a(80) = 922467678375955174620119485184558609930812380079730635355551326\)
\(\displaystyle a(81) = 6210011335100975714777196991221526095608405911561827334370928747\)
\(\displaystyle a(82) = 41815048982219433816325576304716619917046978624340162339743431125\)
\(\displaystyle a(83) = 281623838328441321269044810731976389416298980581624834789654643121\)
\(\displaystyle a(84) = 1897144859679262180257928646633454080527475337892306922887201730693\)
\(\displaystyle a(85) = 12782730192572087599843111956768178662247652515932714796619777651132\)
\(\displaystyle a(86) = 86146304124888533314270048367438275193639007590422024894301361240989\)
\(\displaystyle a(87) = 580680846133719140785322780458614022769301781047374142098494596784728\)
\(\displaystyle a(88) = 3914931530936452465280193364677167133041178682671894183434959659805633\)
\(\displaystyle a(89) = 26399440544158935184511522193900490722287171851492934675036256034679815\)
\(\displaystyle a(90) = 178052176370672029100567216751253951032169581250652289317476431073964824\)
\(\displaystyle a{\left(n + 91 \right)} = \frac{3820217163913853856391160 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) a{\left(n \right)}}{5578558047 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{132535 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(112315597140586242619349 n + 246051839042976691624062\right) a{\left(n + 1 \right)}}{301242134538 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(66087208830381000958817663715 n^{2} + 676846478327729475368900228927 n + 1551352845342199197280384354724\right) a{\left(n + 2 \right)}}{602484269076 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(n + 3\right) \left(n + 4\right) \left(2023731227606245619699768454495 n^{3} + 41114948092877469077654620875394 n^{2} + 248053420683920050980471991402341 n + 465440525100538513103300040292934\right) a{\left(n + 3 \right)}}{1204968538152 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(n + 4\right) \left(44899137829857916362489704357541 n^{4} + 1398074104648937933385468104638976 n^{3} + 14571722263800746689626249289740339 n^{2} + 63214083931339008492845141719478884 n + 98472723856128072680008430519446452\right) a{\left(n + 4 \right)}}{2409937076304 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(4526774836 n + 392417139497\right) a{\left(n + 90 \right)}}{30609372 \left(n + 92\right)} - \frac{\left(5242807228147 n^{2} + 903218606793161 n + 38897309277799084\right) a{\left(n + 89 \right)}}{489749952 \left(n + 91\right) \left(n + 92\right)} + \frac{\left(2953742363075422 n^{3} + 758391051282871281 n^{2} + 64899233002680791579 n + 1851019616864451457470\right) a{\left(n + 88 \right)}}{5876999424 \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(75316873695869407 n^{4} + 25614941343292985714 n^{3} + 3266334813126606988853 n^{2} + 185088579149325986896066 n + 3932448211630007892624840\right) a{\left(n + 87 \right)}}{4407749568 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(7839263946826940714 n^{5} + 3310071034889554497005 n^{4} + 558959006286756766149320 n^{3} + 47185881439654969969866055 n^{2} + 1991280577401669849708229946 n + 33607009192078589218627148400\right) a{\left(n + 86 \right)}}{17630998272 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(289336001850802193234 n^{5} + 120390576867625101352677 n^{4} + 20032303336751611991063858 n^{3} + 1666193208611191032268739307 n^{2} + 69274517809065149678472246824 n + 1151762222832318283591212643140\right) a{\left(n + 85 \right)}}{158678984448 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(141932044336769483392598 n^{5} + 58112236428003376371573075 n^{4} + 9513609505959711521149982000 n^{3} + 778428447976777289779956492525 n^{2} + 31833360523348964703491623862162 n + 520500504872935154267494514824560\right) a{\left(n + 84 \right)}}{952073906688 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(460063702987485271552809 n^{5} + 184856153143954809039317860 n^{4} + 29690617346197392677224303490 n^{3} + 2382710778287164346793378393350 n^{2} + 95538115217010136671849298848331 n + 1531125001726252829580014239997100\right) a{\left(n + 83 \right)}}{238018476672 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(492475209379913362920665282 n^{5} + 192986912949600640384442756655 n^{4} + 30206900403244712040891893843180 n^{3} + 2360395415181041748231289778804985 n^{2} + 92069087659152966417585924686301818 n + 1433928223269659448600278342581591560\right) a{\left(n + 82 \right)}}{25705995480576 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(595520812008307440243401305 n^{5} + 94443551755687679970709748648 n^{4} - 7307320554284948558549871258315 n^{3} - 2331032390346408448498981573707173 n^{2} - 161207318962970815840695990455829103 n - 3636331609372764492479994840708153936\right) a{\left(n + 80 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(9777380532140249049582103856 n^{5} + 3653916240999749752510031250045 n^{4} + 543285506319522420916533771302870 n^{3} + 40139780621990432343680228440280355 n^{2} + 1472097835691554973596389443178238394 n + 21409521750578053936078486142343005160\right) a{\left(n + 81 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(370619255657562005973035370444 n^{5} + 156837046863468987451373156314595 n^{4} + 26362156155035826187597622701736420 n^{3} + 2202174072867362971175597606233317445 n^{2} + 91493768026636411877198704159387580596 n + 1513411064382118322180279166080514260940\right) a{\left(n + 79 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(12258343188650141174087851546712 n^{5} + 4870481499048724733845452756802165 n^{4} + 772342263471787734851778593963444790 n^{3} + 61107476767664283751130144255188649735 n^{2} + 2412446723751896884252897376618386742638 n + 38020350356979661229780408790527047902000\right) a{\left(n + 78 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(52910805090001798925574948842003 n^{5} + 1353531223924362550826910816086172 n^{4} - 2679414369919273605157629035500028623 n^{3} - 425407221732238880339508702732755322048 n^{2} - 24682529549184362450181939315433486355272 n - 505918793919444890982424552860696589668300\right) a{\left(n + 75 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(58337671441854658094684551807338 n^{5} + 22283524814137226000324625215351785 n^{4} + 3397356286019350911774283417309808140 n^{3} + 258401841978473678318045181788792569115 n^{2} + 9804034783502596403691786391445934957062 n + 148425237532436076554420205470386322254620\right) a{\left(n + 77 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(294526769887293489245519117757783 n^{5} - 30137206282660665569941123851427535 n^{4} - 803732378613649728609615175426798325 n^{3} - 7294324354996441165929089912565741505 n^{2} - 28688757105752744677092395928443396578 n - 41795413714508510516522218692698578800\right) a{\left(n + 5 \right)}}{4819874152608 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(340141345651173844847964946262083 n^{5} + 122602265725728116164975175316338125 n^{4} + 17559689115715771214393103526009164725 n^{3} + 1247803425134117315143263847968194200595 n^{2} + 43930372174787819207884372605912031723392 n + 611836432404900198504140672666093781893040\right) a{\left(n + 76 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(44659284357347478406739447468825056 n^{5} + 18432165410645250161093337653597813345 n^{4} + 3018898774576105609772953998450414876330 n^{3} + 245564814106478384577180311009370336544075 n^{2} + 9929852015716573832262557083835505793127474 n + 159808083879555674188760016865808283920991720\right) a{\left(n + 74 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(111657630828392075121212870842707533 n^{5} + 3433974456395643116564788788655234630 n^{4} + 41891969159341331079455633797699358235 n^{3} + 253144847749700536458912068266569170210 n^{2} + 756814258215913887892757413634091248032 n + 894192382931677718023804620802513920000\right) a{\left(n + 6 \right)}}{9639748305216 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(345090575449790517431971289902909947 n^{5} + 134173416888185768903610896731905458840 n^{4} + 20819479154386141261824976014152981151275 n^{3} + 1611891020841524761414589217065151142377340 n^{2} + 62278215079757768682335086662982007033221438 n + 960782216852531464184159094971402790026404800\right) a{\left(n + 73 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(2363601380686538298107652686754930389 n^{5} + 87108324729140282610133168384623026305 n^{4} + 1282973314195910739725255570481443757165 n^{3} + 9439118769165701834466125489272655615675 n^{2} + 34688231482558270896235004207757625904026 n + 50939173816099317129090211315353181775760\right) a{\left(n + 7 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(6966913680206792594651095096282144472 n^{5} + 2631268490599405256431900066276860346645 n^{4} + 397049408127989680443407795478021701869770 n^{3} + 29923918799610912260264443217556067915741175 n^{2} + 1126455657402278790867409487548357545509319178 n + 16945183419660131833139657379099167967980937720\right) a{\left(n + 72 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(18240186766060752945408667628205525774 n^{5} + 91279683804528125652110380846406669595 n^{4} - 13558574882000614721144253329759723226160 n^{3} - 279776025911407477457258779639297958189655 n^{2} - 2074530080411921211303646510843591931531834 n - 5415073558804101206998279403398403350258680\right) a{\left(n + 9 \right)}}{25705995480576 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(22957202709488210950329528406485398407 n^{5} + 880063790820554123488810109877637391340 n^{4} + 13264839088422908429392688168160104586085 n^{3} + 97697267085579614029524253102444761831900 n^{2} + 348399757446246977804042983826665551391228 n + 473685611255335220653944798166810902071280\right) a{\left(n + 8 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(28135692822767412443539468770348892478 n^{5} + 10398718944128310750088601636453311786945 n^{4} + 1536170083971598917029432611400127465716460 n^{3} + 113386472510774244165243533578168137567634745 n^{2} + 4181766708574117509846085224237615755957462452 n + 61650713667754391404230628454014886007869425680\right) a{\left(n + 71 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(61819638625362994755688507236155691337 n^{5} + 4649452361365364079856352446572358949464 n^{4} + 128044973287900053764750956109893727382713 n^{3} + 1674333139732766144593569582479714716344494 n^{2} + 10582471622327516165509716893908237310087544 n + 26124293108180965396526779787713239363364212\right) a{\left(n + 10 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(193927515172506029214129927524192735587 n^{5} + 70337673800439727615613748246393996711545 n^{4} + 10199185680720964379645698299560580097326615 n^{3} + 739079631045322851780890438677628583964045135 n^{2} + 26765412242751505702346030562583335322154291378 n + 387535781247761074487272383674464504228195753200\right) a{\left(n + 70 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - 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\frac{\left(4657665299657299179765356646308459560542864991679 n^{5} + 1140180068665456122958262154598507183284229809701710 n^{4} + 106686795873494746168696217750080559647877617554770670 n^{3} + 4840042413004776544422013807011619034340331075661265665 n^{2} + 107372617104244328147945692808048659571980927249103012296 n + 936876410118817349632200266141786472858902075919609987570\right) a{\left(n + 38 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(6041387025450935342364566485131218885857859576468 n^{5} + 1255218701995076494599108344768789050035302496910365 n^{4} + 104077057874595970288482486274047332353504924452687640 n^{3} + 4303833750696005805975104716450424170567298429953788355 n^{2} + 88737534856051951575190524527953752056155845234290558532 n + 729572028247643368612210032981594536591936040903370765340\right) a{\left(n + 43 \right)}}{12852997740288 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(7771532806575968492898734701089243573281236137393 n^{5} + 1447265785297150085438857538873641086301027326356285 n^{4} + 106333914745234149705832605849710428610306126146833755 n^{3} + 3837936810168732880174867522021299945338107730997984610 n^{2} + 67654519782205869259574186457475338178573911491194038097 n + 461656410136580821084590870149291217545709046888450130730\right) a{\left(n + 41 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(8920363851276097951984819800034542691112307406652 n^{5} + 1910410375669402852786474607723551240279809158184995 n^{4} + 161260873688996274218679449342962035807829957354640230 n^{3} + 6726817221784027171414856770093728095873105968839145645 n^{2} + 138967265976658709000503302229200967352115538633201109658 n + 1139279784727545784841080276973177503390666885639088082960\right) a{\left(n + 37 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(9373030064733354649312983293538579104636600792352 n^{5} + 1435428030863917602037087600753944074459770072027835 n^{4} + 87869827271933962340456974227899410839296013793333190 n^{3} + 2687701801350498495278589974699731695611019896640656785 n^{2} + 41079024836430898635030089283628184502799129996301302918 n + 250992386872499794622351908578122175013061973914638711680\right) a{\left(n + 29 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(17209765572537248599305773888564965778024228065366 n^{5} + 2720702727253226988931759860128969056005068279258415 n^{4} + 171924336003113580203394643931014806199374681946621480 n^{3} + 5428372466333969123481771726142826019513123590492319165 n^{2} + 85643148296747291164561286449301238592386336965680674934 n + 540144426494927772309573378777890862549528564439051678680\right) a{\left(n + 30 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(18519545297122420803992476561938829820311270339586 n^{5} + 3684911648743869601142376230471446284765637177959315 n^{4} + 291845191740053652587916366724706550299429213977401800 n^{3} + 11491890308665316673731051960283001499688273740110689495 n^{2} + 224769217558309662623671370360933013871623257044541057984 n + 1744856715315256326030245925424310976313788666655963688340\right) a{\left(n + 42 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(37947562218077530174646930244417784376179319735786 n^{5} + 6429454619319937214385981256259124548979308877408165 n^{4} + 435212305890277609817113817605491838733687758842025460 n^{3} + 14713252685973510959454855741262111634271001407538157115 n^{2} + 248443259100494936277262454947062026681373577905498299114 n + 1676387525338189461455649497281665287914111471966777329480\right) a{\left(n + 32 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)}, \quad n \geq 91\)