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A365976

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

1, 1, 2, 6, 24, 144, 1008, 8064, 72576, 766080, 8934912, 113895936, 1573254144, 23864924160, 389247344640, 6786673496064, 125855767166976, 2492616008171520, 52243870155079680, 1154797100239749120, 26835102086208159744, 656159502089355264000

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

FORMULA

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

PROG

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

CROSSREFS

Cf. A296676, A365975, A365977.

Sequence in context: A205182 A013068 A326780 * A356858 A375812 A375808

Adjacent sequences: A365973 A365974 A365975 * A365977 A365978 A365979

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 23 2023

STATUS

approved

URL: https://oeis.org/A365976

⇱ A365976 - OEIS