A355087 E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(3*x).

1, 1, 7, 200, 22008, 8968614, 13103201154, 66911528280456, 1170951806182816008, 69148802888161984160496, 13610904625275511792310726256, 8840888240006182011615570947541552, 18793694994107665289261434484161549856688

Offset

0,3

Links

Table of n, a(n) for n=0..12.

Formula

a(0) = 1; a(n) = Sum_{k=1..n} 3^(n-k) * (k-1)! * binomial(n,k) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, 3^(i-j)*(j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A007840, A355086.

Cf. A355088.

Sequence in context: A124988 A220934 A221288 * A276537 A233507 A316862

Adjacent sequences: A355084 A355085 A355086 * A355088 A355089 A355090

Keyword

nonn

Author

Seiichi Manyama, Jun 18 2022

Status

approved