A365894 Expansion of e.g.f. exp( Sum_{k>=0} x^(3*k+4) / (3*k+4)! ).

1, 0, 0, 0, 1, 0, 0, 1, 35, 0, 1, 330, 5775, 1, 2717, 225225, 2627626, 21828, 6782490, 290990701, 2546343368, 190030590, 22939766851, 644182060203, 4514461227804, 1607617027501, 109664100094160, 2261215037103165, 13296854061626851, 15998661864449331

Offset

0,9

Links

Table of n, a(n) for n=0..29.

Formula

a(0)=1; a(n) = Sum_{k=0..floor((n-4)/3)} binomial(n-1,3*k+3) * a(n-3*k-4).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\3, x^(3*k+4)/(3*k+4)!))))

Crossrefs

Cf. A057837, A365895.

Sequence in context: A250488 A236237 A067156 * A291452 A343981 A174593

Adjacent sequences: A365891 A365892 A365893 * A365895 A365896 A365897

Keyword

nonn

Author

Seiichi Manyama, Sep 22 2023

Status

approved