A030213 Expansion of eta(q^5)*eta(q^19).

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

Offset

0,132

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^(5*k)) * (1 - x^(19*k)). - Seiichi Manyama, Oct 18 2016

Mathematica

eta = QPochhammer;
CoefficientList[q eta[q^5] eta[q^19] + 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), this sequence (k=5), A030214 (k=7), A030215 (k=9), A030216 (k=10), A030217 (k=11).

Sequence in context: A284683 A369968 A288673 * A187969 A132151 A370124

Adjacent sequences: A030210 A030211 A030212 * A030214 A030215 A030216

Keyword

sign

Author

N. J. A. Sloane.

Status

approved