A030217 Expansion of eta(q^11)*eta(q^13).

0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0

Offset

0,180

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

M. Koike, On McKay's conjecture, Nagoya Math. J., 95 (1984), 85-89.

Formula

Expansion of x * Product_{k>=1} (1 - x^(11*k)) * (1 - x^(13*k)). - Seiichi Manyama, Oct 18 2016

Mathematica

eta = QPochhammer;
CoefficientList[q eta[q^11] eta[q^13] + O[q]^100, q] (* Jean-François Alcover, Feb 21 2021 *)

Crossrefs

Cf. Expansion of eta(q^k)*eta(q^(24 - k)): A030199 (k=1), A030201 (k=3), A030213 (k=5), A030214 (k=7), A030215 (k=9), A030216 (k=10), this sequence (k=11).

Sequence in context: A360109 A355452 A130638 * A030215 A283020 A098108

Adjacent sequences: A030214 A030215 A030216 * A030218 A030219 A030220

Keyword

sign

Author

N. J. A. Sloane

Status

approved