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Expansion of Product_{k>0} (1 - x^(k^3))/(1 + x^(k^3)).
1

%I #10 Nov 10 2024 14:56:11

%S 1,-2,2,-2,2,-2,2,-2,0,2,-2,2,-2,2,-2,2,0,-2,2,-2,2,-2,2,-2,0,2,-2,0,

%T 2,-2,2,-2,4,-6,6,-2,-2,2,-2,2,-4,6,-6,2,2,-2,2,-2,4,-6,6,-2,-2,2,0,

%U -2,0,2,-2,-2,6,-6,2,2,-2,2,-2,6,-10,10,-6,2,0,-2,2,-6,10

%N Expansion of Product_{k>0} (1 - x^(k^3))/(1 + x^(k^3)).

%F Convolution inverse of A280263.

%t CoefficientList[Series[Product[(1-x^(k^3))/(1+x^(k^3)),{k,10}],{x,0,80}],x] (* _Harvey P. Dale_, Nov 10 2024 *)

%Y Product_{k>0} (1 - x^(k^m))/(1 + x^(k^m)): A002448 (m=1), A319243 (m=2), this sequence (m=3).

%Y Cf. A280263.

%K sign

%O 0,2

%A _Seiichi Manyama_, Sep 15 2018