login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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).
0

%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