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A058558 McKay-Thompson series of class 20c for Monster. 1
1, -1, -2, 1, 0, 3, 0, -2, 1, -2, 6, -4, -8, 3, 0, 10, -3, -8, 4, -2, 19, -10, -22, 9, -2, 31, -10, -26, 11, -8, 50, -26, -54, 22, -6, 76, -25, -66, 28, -16, 119, -57, -122, 50, -14, 174, -62, -152, 64, -34, 258, -118, -258, 104, -34, 366, -135, -322, 134, -66, 528, -237, -516, 209, -70, 736, -274, -648, 267, -130 (list; graph; refs; listen; history; text; internal format)
OFFSET

-1,3

LINKS

G. C. Greubel, Table of n, a(n) for n = -1..1500

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^2)/(eta(q^5)*eta(q^10))) in powers of q. - G. C. Greubel, Jun 21 2018

EXAMPLE

T20c = 1/q - q - 2*q^3 + q^5 + 3*q^9 - 2*q^13 + q^15 - 2*q^17 + 6*q^19 - ...

MATHEMATICA

eta[q_] := q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[q^(1/2)*(eta[q]*eta[q^2]/(eta[q^5]*eta[q^10])), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 21 2018 *)

PROG

q='q+O('q^50); A = (eta(q)*eta(q^2)/(eta(q^5)*eta(q^10))); Vec(A) \\ G. C. Greubel, Jun 21 2018

CROSSREFS

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

Sequence in context: A127448 A128179 A178780 * A210869 A123973 A098493

Adjacent sequences:  A058555 A058556 A058557 * A058559 A058560 A058561

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Nov 27 2000

EXTENSIONS

Terms a(12) onward added by G. C. Greubel, Jun 21 2018

STATUS

approved

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Last modified January 21 02:59 EST 2019. Contains 319344 sequences. (Running on oeis4.)