A365895 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+4) / (5*k+4)! ).

1, 0, 0, 0, 1, 0, 0, 0, 35, 1, 0, 0, 5775, 715, 1, 0, 2627625, 850850, 27370, 1, 2546168625, 1697445750, 189019600, 826045, 4509264634876, 5368172184375, 1385034901250, 52398292375, 13189599083995050, 25499891510218126, 12524921737453125

Offset

0,9

Links

Table of n, a(n) for n=0..30.

Formula

a(0)=1; a(n) = Sum_{k=0..floor((n-4)/5)} binomial(n-1,5*k+3) * a(n-5*k-4).

Prog

(PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\5, x^(5*k+4)/(5*k+4)!))))

Crossrefs

Cf. A057837, A365894.

Sequence in context: A104785 A225313 A028847 * A176199 A059023 A327004

Adjacent sequences: A365892 A365893 A365894 * A365896 A365897 A365898

Keyword

nonn

Author

Seiichi Manyama, Sep 22 2023

Status

approved