A113673 Self-convolution 7th power equals A113667, where a(n) = n*A113667(n-1) for n>=1, with a(0)=1.

1, 1, 14, 357, 12488, 540155, 27453258, 1591997162, 103362754048, 7415833578300, 582246803894350, 49648781879763836, 4569614321483063496, 451606519694514555917, 47709061981854231868308

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Formula

G.f. A(x) satisfies:

(1) A(x) = 1 + x*d/dx[x*A(x)^7],

(2) [x^n] exp( x*A(x)^7 ) * (n + 1 - A(x)) = 0 for n > 0,

(3) [x^n] exp( n * x*A(x)^7 ) * (2 - A(x)) = 0 for n > 0. - Paul D. Hanna, May 27 2018

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. A113667, A000699, A113669, A113670, A113671, A113672, A113674.

Sequence in context: A161927 A253457 A239784 * A184268 A223383 A215300

Adjacent sequences: A113670 A113671 A113672 * A113674 A113675 A113676

Keyword

nonn

Author

Paul D. Hanna, Nov 04 2005

Status

approved