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A365894
Expansion of e.g.f. exp( Sum_{k>=0} x^(3*k+4) / (3*k+4)! ).
2
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
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
Sequence in context: A250488 A236237 A067156 * A291452 A343981 A174593
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 22 2023
STATUS
approved