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Coefficients of a power series f(q) with coefficients +1 or -1 such that Product_{m >= 1} f(q^(2m-1)) = Sum_{m = -oo..oo} q^(m(3m-1)/2).
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%I #12 Dec 18 2023 04:02:49

%S 1,1,1,-1,-1,-1,-1,-1,-1,1,1,1,-1,-1,-1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,

%T 1,1,1,1,1,1,-1,-1,-1,1,1,1,-1,-1,-1,-1,-1,-1,1,1,1,-1,-1,-1,1,1,1,1,

%U 1,1,-1,-1,-1,1,1,1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,1,1,1,-1

%N Coefficients of a power series f(q) with coefficients +1 or -1 such that Product_{m >= 1} f(q^(2m-1)) = Sum_{m = -oo..oo} q^(m(3m-1)/2).

%C More than the usual number of terms are given because there are many similar sequences in the OEIS.

%H George E. Andrews and David Newman, <a href="https://georgeandrews1.github.io/pdf/322.pdf">Binary Representations and Theta Functions</a>, 2017.

%Y Cf. A292118.

%K sign

%O 0

%A _N. J. A. Sloane_, Sep 09 2017