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A321299 Expansion of Product_{1 <= i <= j} (1 - x^(i*j)). 5

%I #20 Nov 03 2018 11:45:13

%S 1,-1,-1,0,-1,2,0,2,0,-1,2,-1,-2,0,0,-4,0,-1,1,0,2,2,2,-1,3,-1,1,6,-2,

%T 1,-6,1,-4,5,-7,-5,-1,-4,-2,6,-4,0,0,-2,13,-7,8,2,5,1,10,2,9,-3,-1,-1,

%U -6,-7,2,-5,-8,1,-6,-17,-4,13,-8,1,-16,-14,3,7,-1,20,-10,13,-3,8

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

%H Seiichi Manyama, <a href="/A321299/b321299.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: Product_{k>0} (1 - x^k)^A038548(k).

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

%Y Convolution inverse of A182269.

%Y Cf. A038548, A211856, A321300.

%K sign,look

%O 0,6

%A _Seiichi Manyama_, Nov 03 2018

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Last modified April 24 13:49 EDT 2024. Contains 371958 sequences. (Running on oeis4.)