A113667 Self-convolution 7th power of A113673, where a(n) = A113673(n+1)/(n+1).

1, 7, 119, 3122, 108031, 4575543, 227428166, 12920344256, 823981508700, 58224680389435, 4513525625433076, 380801193456921958, 34738963053424196609, 3407790141561016562022, 357764735284328750251272

Offset: 0

Author

Paul D. Hanna, Nov 04 2005

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..325

Crossrefs

Cf. A113673, A113662, A113663, A113664, A113665, A113666, A113668.

Programs

PARI

{a(n)=local(A=1+x*O(x^n));for(i=1,n, A=(1+x*deriv(x*A))^7);polcoeff(A,n,x)}

Formula

G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^7.

a(n) ~ c * 7^n * n! * n^(6/7), where c = 0.6609663441165155995412... - Vaclav Kotesovec, Oct 23 2020