A296047 Expansion of Product_{k>=1} ((1 + x^(2*k-1))/(1 + x^(2*k)))^k.

1, 1, -1, 1, 1, 0, 0, -2, 5, 0, -2, 0, 3, 5, -11, 5, 6, 9, -17, -2, 23, -3, -11, -25, 62, -11, -27, -27, 76, 20, -104, 10, 77, 101, -243, 58, 118, 147, -353, -25, 378, 48, -372, -298, 892, -165, -444, -621, 1524, -128, -1055, -559, 1869, 575, -2682, 84, 2054, 1979, -5325, 844, 2947

Offset

0,8

Links

Table of n, a(n) for n=0..60.

Formula

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

Mathematica

nmax = 60; CoefficientList[Series[Product[((1 + x^(2 k - 1))/(1 + x^(2 k)))^k, {k, 1, nmax}], {x, 0, nmax}], x]

Crossrefs

Cf. A029838, A029839, A029840, A029841, A029842, A029843, A029844, A029845, A295831, A295832, A296046.

Sequence in context: A011183 A005671 A343605 * A307237 A127863 A006891

Adjacent sequences: A296044 A296045 A296046 * A296048 A296049 A296050

Keyword

sign

Author

Ilya Gutkovskiy, Dec 03 2017

Status

approved