A294620 Expansion of Product_{k>0} (1 - k^2*x^k)^(1/k).

1, -1, -2, -1, -3, 7, -12, 32, -10, -15, 77, 187, -760, 846, 1382, -4197, 1371, 6650, -9991, 19220, -32439, -80889, 290596, 127853, -1372003, 913414, 3253746, -6728692, 2302327, 14461937, -46087740, 66588519, 15702643, -357119564, 752905288, 310992687

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..3155

Formula

a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A073705(k)*a(n-k) for n > 0.

Prog

(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-k^2*x^k)^(1/k)))

Crossrefs

Cf. A073705, A151954.

Sequence in context: A077173 A063509 A137766 * A010758 A259419 A019224

Adjacent sequences: A294617 A294618 A294619 * A294621 A294622 A294623

Keyword

sign

Author

Seiichi Manyama, Nov 05 2017

Status

approved