A365914 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+4) / (5*k+4)! ).

1, 0, 0, 0, 1, 0, 0, 0, 70, 1, 0, 0, 34650, 1430, 1, 0, 63063000, 5105100, 54740, 1, 305540235000, 40738698000, 1134117600, 1652090, 3246670537110001, 644180662125000, 33240837630000, 314389754250, 66475579247381221350, 18359921887357050001

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)/5)} binomial(n,5*k+4) * a(n-5*k-4).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+4)/(5*k+4)!))))

Crossrefs

Cf. A232475, A365913.

Cf. A365895.

Sequence in context: A365913 A278074 A075405 * A177808 A327024 A036183

Adjacent sequences: A365911 A365912 A365913 * A365915 A365916 A365917

Keyword

nonn,easy

Author

Seiichi Manyama, Sep 22 2023

Status

approved