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A058506
McKay-Thompson series of class 14b for Monster.
1
1, -2, -1, 2, 1, 2, -2, 2, -6, -4, 5, 2, 4, -2, 8, -16, -7, 12, 5, 8, -8, 16, -34, -18, 24, 10, 18, -12, 33, -68, -33, 50, 20, 36, -28, 60, -126, -64, 89, 36, 62, -46, 111, -228, -111, 160, 65, 112, -86, 188, -390, -194, 272, 108, 188, -136, 322, -656, -318, 454, 181, 310, -234, 520
OFFSET
-1,2
LINKS
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of q^(1/2)*(eta(q)/eta(q^7))^2 in powers of q. - G. C. Greubel, Jun 20 2018
EXAMPLE
T14b = 1/q - 2*q - q^3 + 2*q^5 + q^7 + 2*q^9 - 2*q^11 + 2*q^13 - 6*q^15 - ...
MATHEMATICA
QP = QPochhammer; s = (QP[q]/QP[q^7])^2 + O[q]^80; CoefficientList[s, q] (* Georg Fischer, Nov 14 2020 *)
PROG
(PARI) q='q+O('q^70); Vec((eta(q)/eta(q^7))^2) \\ G. C. Greubel, Jun 20 2018
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
Terms a(12) onward added by G. C. Greubel, Jun 20 2018
STATUS
approved