A294463 E.g.f.: Product_{k>0} (1-k*x^k)^(1/k).

1, -1, -2, 0, -12, 180, -1080, 15120, -45360, -15120, 6501600, 166320000, -6017457600, 73297224000, 724669545600, -32528399904000, 169180371360000, 6794185638240000, -119705492402496000, 2601008778880512000, -119160456995099520000

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..425

Formula

a(0) = 1 and a(n) = -(n-1)! * Sum_{k=1..n} A055225(k)*a(n-k)/(n-k)! for n > 0.

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

Prog

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

Crossrefs

Cf. A028343, A055225, A294462.

Sequence in context: A293494 A058803 A193202 * A107700 A274107 A122688

Adjacent sequences: A294460 A294461 A294462 * A294464 A294465 A294466

Keyword

sign

Author

Seiichi Manyama, Oct 31 2017

Status

approved