A292117 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).

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, 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, 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

Offset

0

Comments

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

Links

Table of n, a(n) for n=0..84.

George E. Andrews and David Newman, Binary Representations and Theta Functions, 2017.

Crossrefs

Cf. A292118.

Sequence in context: A181432 A165326 A143621 * A098417 A143622 A246016

Adjacent sequences: A292114 A292115 A292116 * A292118 A292119 A292120

Keyword

sign

Author

N. J. A. Sloane, Sep 09 2017

Status

approved