A365913 - OEIS

A365913

Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(3*k+4) / (3*k+4)! ).

1, 0, 0, 0, 1, 0, 0, 1, 70, 0, 1, 660, 34650, 1, 5434, 1351350, 63063001, 43656, 40694940, 6983776801, 305540584486, 1140183540, 550554404401, 77301682251156, 3246701716667574, 38582808660001, 13159690691494570, 1627974214800566490, 66478153367438069401

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OFFSET

0,9

LINKS

Table of n, a(n) for n=0..28.

FORMULA

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

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\3, x^(3*k+4)/(3*k+4)!))))

CROSSREFS

Cf. A232475, A365914.

Cf. A365894.