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A294584 Expansion of Product_{k>=1} (1 - k^2*x^k)^(k^2). 3

%I #13 Nov 12 2017 05:12:18

%S 1,-1,-16,-65,-79,831,4789,15099,6450,-162454,-922222,-2766802,

%T -2885883,17436735,123724783,429826690,823702295,-482288111,

%U -11124249861,-50746426204,-140257438535,-188609543978,446818695084,4049784546745,15671762002156

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

%H Seiichi Manyama, <a href="/A294584/b294584.txt">Table of n, a(n) for n = 0..3799</a>

%t nmax = 30; CoefficientList[Series[Product[(1 - k^2*x^k)^(k^2), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 12 2017 *)

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

%Y Column k=2 of A294583.

%Y Cf. A294586.

%K sign

%O 0,3

%A _Seiichi Manyama_, Nov 03 2017

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Last modified September 2 17:16 EDT 2024. Contains 375614 sequences. (Running on oeis4.)