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A321300 Expansion of Product_{1 <= i < j} (1 - x^(i*j)). 2

%I #16 Nov 03 2018 11:45:29

%S 1,0,-1,-1,-1,0,-1,1,1,2,2,2,0,0,2,-2,-1,-3,-1,-4,-4,-4,-1,-1,-2,0,3,

%T 7,3,4,5,7,5,8,3,2,4,1,-6,-2,-8,-8,-12,-9,-9,-11,-13,-12,-6,-8,-6,-8,

%U 11,5,6,8,18,12,22,21,28,26,28,12,21,22,11,0,0,-4,-18,-17,-38

%N Expansion of Product_{1 <= i < j} (1 - x^(i*j)).

%H Seiichi Manyama, <a href="/A321300/b321300.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: Product_{k>0} (1 - x^k)^A056924(k).

%t nmax = 100; CoefficientList[Series[Product[(1 - x^k)^Floor[DivisorSigma[0, k]/2], {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 03 2018 *)

%Y Convolution inverse of A321285.

%Y Cf. A056924, A321286, A321299.

%K sign,look

%O 0,10

%A _Seiichi Manyama_, Nov 03 2018

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)