A030214 Expansion of eta(q^7)*eta(q^17).

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

Offset

0,156

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^(7*k)) * (1 - x^(17*k)). - Seiichi Manyama, Oct 19 2016

Mathematica

eta = QPochhammer;
CoefficientList[q eta[q^7] eta[q^17] + O[q]^100, q] (* Jean-François Alcover, Feb 21 2021 *)

Prog

(PARI) q='q+O('q^99); concat(0, Vec(eta(q^7)*eta(q^17))) \\ Charles R Greathouse IV, Oct 19 2016

Crossrefs

Cf. Expansion of eta(q^k)*eta(q^(24 - k)): A030199 (k=1), A030201 (k=3), A030213 (k=5), this sequence (k=7), A030215 (k=9), A030216 (k=10), A030217 (k=11).

Sequence in context: A283020 A098108 A363712 * A369658 A025464 A373260

Adjacent sequences: A030211 A030212 A030213 * A030215 A030216 A030217

Keyword

sign

Author

N. J. A. Sloane.

Status

approved