A365915 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(2*k+5) / (2*k+5)! ).

1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 252, 1, 1584, 1, 7436, 756757, 31616, 14702689, 129404, 189559657, 11733266992, 2062481617, 516242875084, 20611819933, 14135172627712, 623557476714481, 312148517693820, 52096977907924561, 6121122865591920

Offset

0,11

Links

Seiichi Manyama, Table of n, a(n) for n = 0..529

Formula

a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/2)} binomial(n,2*k+5) * a(n-2*k-5).

E.g.f.: 1 / ( 1 + x + x^3/6 - sinh(x) ).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x+x^3/6-sinh(x))))

Crossrefs

Cf. A245790, A365916, A365917.

Cf. A006154, A332258.

Cf. A365896.

Sequence in context: A365916 A177809 A367577 * A113899 A045182 A330616

Adjacent sequences: A365912 A365913 A365914 * A365916 A365917 A365918

Keyword

nonn,easy

Author

Seiichi Manyama, Sep 23 2023

Status

approved