A294465 E.g.f.: Product_{k>0} (1+k*x^k)^(-1/k).

1, -1, 0, -6, 36, -180, 720, -7560, 236880, -3099600, 15120000, -194594400, 9989179200, -131935003200, 337815878400, -50154760656000, 2018231927712000, -27611162875296000, 363290246871552000, -12648028196067264000, 521752941995725440000

Offset

0,4

Links

Table of n, a(n) for n=0..20.

Formula

E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^k*j^(k-1)*x^(j*k)/k). - Ilya Gutkovskiy, May 28 2018

Prog

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1+k*x^k)^(1/k))))

Crossrefs

Cf. A294356, A294462, A294463, A294464.

Sequence in context: A283197 A218265 A258629 * A074444 A348568 A366630

Adjacent sequences: A294462 A294463 A294464 * A294466 A294467 A294468

Keyword

sign

Author

Seiichi Manyama, Oct 31 2017

Status

approved