A113665 Self-convolution 5th power of A113671, where a(n) = A113671(n+1)/(n+1).

1, 5, 60, 1110, 27105, 811026, 28511130, 1146762120, 51826136580, 2597311722545, 142897603735880, 8561763675801900, 554962861232408910, 38698651781787343980, 2889100726488051970230, 229948324353525499175160

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..350

Formula

G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^5.

a(n) ~ c * 5^n * n! * n^(4/5), where c = 0.688632085705020709346557... - Vaclav Kotesovec, Oct 23 2020

Prog

(PARI) {a(n)=local(A=1+x*O(x^n)); for(i=1, n, A=(1+x*deriv(x*A))^5); polcoeff(A, n, x)}

Crossrefs

Cf. A113671, A113662, A113663, A113664, A113666, A113667, A113668.

Sequence in context: A120976 A062980 A365557 * A147585 A138215 A207648

Adjacent sequences: A113662 A113663 A113664 * A113666 A113667 A113668

Keyword

nonn

Author

Paul D. Hanna, Nov 04 2005

Status

approved