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

0,2

Links

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

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

Prog

(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)}

Crossrefs

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

Sequence in context: A221323 A268300 A304917 * A357351 A192565 A171209

Adjacent sequences: A113664 A113665 A113666 * A113668 A113669 A113670

Keyword

nonn

Author

Paul D. Hanna, Nov 04 2005

Status

approved