A329096 Row sums of A329057.

1, 2, 8, 47, 374, 3852, 49398, 762785, 13805702, 286796072, 6727496456, 175903776622, 5073226515772, 160000741383368, 5478160073933490, 202366832844684645, 8022796547785815878, 339769654607776375824, 15309183806159727889536, 731253261602981693567090, 36909816019024064633444820

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = (binomial(2*n, n)*2F1([1, -n], [-2*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.

a(n) ~ exp(2) * n^(n-1). - Vaclav Kotesovec, Nov 04 2019

Mathematica

Table[(Binomial[2n, n]Hypergeometric2F1[1, -n, -2n, 1+n])/(1+n), {n, 0, 20}]

Crossrefs

Cf. A007318, A329057.

Sequence in context: A009566 A349588 A259905 * A233337 A199136 A181413

Adjacent sequences: A329093 A329094 A329095 * A329097 A329098 A329099

Keyword

nonn

Author

Stefano Spezia, Nov 04 2019

Status

approved