###### Av(1)

Generating Function

\(\displaystyle 1\)

Counting Sequence

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

Implicit Equation for the Generating Function

\(\displaystyle F \! \left(x \right)-1 = 0\)

Recurrence

\(\displaystyle a \! \left(0\right) = 1\)

\(\displaystyle a \! \left(n \right) = 0, \quad n \geq 1\)

\(\displaystyle a \! \left(n \right) = 0, \quad n \geq 1\)

Explicit Closed Form

\(\displaystyle \left\{\begin{array}{cc}1 & n =0 \\ 0 & \text{otherwise} \end{array}\right.\)

### This specification was found using the strategy pack "Point Placements" and has 1 rules.

Found on January 21, 2022.Finding the specification took 0 seconds.

Copy 1 equations to clipboard:

\(\begin{align*}
F_{0}\! \left(x \right) &= 1\\
\end{align*}\)