A113666 Self-convolution 6th power of A113672, where a(n) = A113672(n+1)/(n+1).

1, 6, 87, 1946, 57429, 2075376, 88058362, 4272270786, 232769956974, 14056832143770, 931523802358452, 67202173618455120, 5243275012537211083, 439986956480236610424, 39519795153012732250740

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..344

Formula

G.f. satisfies: A(x) = (1 + x*d/dx[x*A(x)] )^6.

a(n) ~ c * 6^n * n! * n^(5/6), where c = 0.67248889832227393928944... - 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))^6); polcoeff(A, n, x)}

Crossrefs

Cf. A113672, A113662, A113663, A113664, A113665, A113667, A113668.

Sequence in context: A181271 A249929 A289394 * A365011 A123544 A239749

Adjacent sequences: A113663 A113664 A113665 * A113667 A113668 A113669

Keyword

nonn

Author

Paul D. Hanna, Nov 04 2005

Status

approved