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

%I #7 Dec 04 2017 09:18:19

%S 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,

%T -24,65,-14,46,21,10,80,-49,154,-102,216,-136,242,-119,198,1,68,189,

%U -153,486,-425,775,-672,1024,-779,1035,-628,782,-97,96,816,-930,2069,-2203,3428,-3413,4546,-4130,4958

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

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

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

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

%K sign

%O 0,4

%A _Ilya Gutkovskiy_, Dec 03 2017

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)