A355088 E.g.f. A(x) satisfies A(x) = 1 + (exp(x) - 1) * A(3*x).

1, 1, 7, 199, 21883, 8916991, 13027669147, 66525761289919, 1164200761777844203, 68750129286493392353311, 13532431689375421261723713787, 8789916574829303798007959322784639, 18685340957126032386127459367999667264523

Offset

0,3

Links

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

Formula

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

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, 3^j*binomial(i, j)*v[j+1])); v;

Crossrefs

Cf. A000670, A352860.

Cf. A355085, A355087.

Sequence in context: A370084 A178319 A202943 * A057204 A124988 A220934

Adjacent sequences: A355085 A355086 A355087 * A355089 A355090 A355091

Keyword

nonn

Author

Seiichi Manyama, Jun 18 2022

Status

approved