%I #4 Dec 04 2017 09:18:26
%S 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,
%T -27,-27,76,20,-104,10,77,101,-243,58,118,147,-353,-25,378,48,-372,
%U -298,892,-165,-444,-621,1524,-128,-1055,-559,1869,575,-2682,84,2054,1979,-5325,844,2947
%N Expansion of Product_{k>=1} ((1 + x^(2*k-1))/(1 + x^(2*k)))^k.
%F G.f.: Product_{k>=1} ((1 + x^(2*k-1))/(1 + x^(2*k)))^k.
%t nmax = 60; CoefficientList[Series[Product[((1 + x^(2 k - 1))/(1 + x^(2 k)))^k, {k, 1, nmax}], {x, 0, nmax}], x]
%Y Cf. A029838, A029839, A029840, A029841, A029842, A029843, A029844, A029845, A295831, A295832, A296046.
%K sign
%O 0,8
%A _Ilya Gutkovskiy_, Dec 03 2017