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A294611 Expansion of Product_{k>=1} 1/(1 - k*x^k)^(k^(2*k)). 2

%I #19 Nov 07 2017 18:28:26

%S 1,1,33,2220,264908,49163017,13120646934,4762819155533,

%T 2257121941722156,1353302171994081060,1001440370811165212942,

%U 896481721940248699989226,954894511643935287905899347,1193519554843091905978411389666

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

%H Seiichi Manyama, <a href="/A294611/b294611.txt">Table of n, a(n) for n = 0..214</a>

%F Convolution inverse of A294607.

%t nmax = 20; CoefficientList[Series[Product[1/(1 - k*x^k)^(k^(2*k)), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 05 2017 *)

%o (PARI) N=20; x='x+O('x^N); Vec(1/prod(k=1, N, (1-k*x^k)^k^(2*k)))

%Y Column k=2 of A294609.

%Y Cf. A294607.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 04 2017

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Last modified August 15 03:46 EDT 2024. Contains 375172 sequences. (Running on oeis4.)