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

Author

Paul D. Hanna, Nov 04 2005

Keywords

• nonn

Links

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

Crossrefs

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

Programs

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)}

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