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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

-1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = -1..2500

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).

Index entries for McKay-Thompson series for Monster simple group

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

eta[q_] := q^(1/24)*QPochhammer[q];  a:= CoefficientList[Series[q^(1/2)*(eta[q]/eta[q^7])^2 , {q, 0, 80}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 20 2018*)

PROG

(PARI) q='q+O('q^70); Vec((eta(q)/eta(q^7))^2) \\ G. C. Greubel, Jun 20 2018

CROSSREFS

Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.

Sequence in context: A029398 A025817 A109381 * A106698 A097848 A124830

Adjacent sequences:  A058503 A058504 A058505 * A058507 A058508 A058509

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

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Last modified January 22 09:52 EST 2019. Contains 319363 sequences. (Running on oeis4.)