A294458 E.g.f.: Product_{n>=1} (1 - x^(2*n-1))^(1/(2*n-1)).

1, -1, 0, -2, 8, -24, 64, -160, 8448, -86912, 509696, -1449216, 44615680, -366395392, 3315376128, -190488356864, 4591008579584, -33244620718080, 86342088982528, -2543409132470272, 136456182420996096, -5644134983026343936, 103753337226615848960

Offset: 0

Author

Seiichi Manyama, Oct 31 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..450

Crossrefs

Cf. A081362, A206303, A285069, A294459.

Programs

PARI

N=66; x='x+O('x^N); Vec(serlaplace(exp(-sum(k=1, N, sumdiv(k, d, d%2)*x^k/k))))

Formula

E.g.f.: exp(-Sum_{n>=1} A001227(n) * x^n / n).

a(0) = 1 and a(n) = (-1) * (n-1)! * Sum_{k=1..n} A001227(k)*a(n-k)/(n-k)! for n > 0.