A365916 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(3*k+5) / (3*k+5)! ).

1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 252, 1, 0, 2574, 1, 756756, 21606, 1, 33081048, 174420, 11732745025, 1052328186, 1397640, 1484192245537, 30223445274, 623360754309330, 126750660276241, 835509726090, 182333017453575330, 9309138073555321

Offset: 0

Author

Seiichi Manyama, Sep 23 2023

Keywords

• nonn
• easy

Crossrefs

Cf. A245790, A365915, A365917.

Cf. A365897.

Programs

PARI

my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\3, x^(3*k+5)/(3*k+5)!))))

Formula

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