A296046 Expansion of Product_{k>=1} ((1 - x^(2*k))/(1 - x^(2*k-1)))^k.

1, 1, 0, 2, 0, 1, 3, 0, 3, 0, 6, 1, 3, 5, 0, 13, -3, 15, -3, 14, 6, 11, 16, -4, 38, -16, 51, -24, 65, -14, 46, 21, 10, 80, -49, 154, -102, 216, -136, 242, -119, 198, 1, 68, 189, -153, 486, -425, 775, -672, 1024, -779, 1035, -628, 782, -97, 96, 816, -930, 2069, -2203, 3428, -3413, 4546, -4130, 4958

Offset: 0

Author

Ilya Gutkovskiy, Dec 03 2017

Keywords

• sign

Crossrefs

Cf. A008439, A008441, A008443, A010054, A295831, A295832, A296047.

Programs

Mathematica

nmax = 65; CoefficientList[Series[Product[((1 - x^(2 k))/(1 - x^(2 k - 1)))^k, {k, 1, nmax}], {x, 0, nmax}], x]

Formula

G.f.: Product_{k>=1} ((1 - x^(2*k))/(1 - x^(2*k-1)))^k.