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A112166 McKay-Thompson series of class 24i for the Monster group. 1
1, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, -2, 12, 0, 0, 0, 0, 4, 18, 0, 0, 0, 0, -4, 28, 0, 0, 0, 0, 5, 44, 0, 0, 0, 0, -6, 64, 0, 0, 0, 0, 9, 92, 0, 0, 0, 0, -12, 132, 0, 0, 0, 0, 13, 186, 0, 0, 0, 0, -16, 256, 0, 0, 0, 0, 21, 352, 0, 0, 0, 0, -26, 476, 0, 0, 0, 0, 29, 638, 0, 0, 0, 0, -36 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of A + 2*q/A, where A = q^(1/2)*(eta(q^6)/eta(q^12))^2, in powers of q. - G. C. Greubel, Jun 25 2018
EXAMPLE
T24i = 1/q + 2*q - 2*q^11 + 4*q^13 + q^23 + 6*q^25 - 2*q^35 + 12*q^37 + ...
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^6]/eta[q^12])^2; a:= CoefficientList[Series[A + 2*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 25 2018 *)
PROG
(PARI) q='q+O('q^80); A = (eta(q^6)/eta(q^12))^2; Vec(A + 2*q/A) \\ G. C. Greubel, Jun 25 2018
CROSSREFS
Sequence in context: A174469 A357724 A297934 * A112167 A230571 A037213
KEYWORD
sign
AUTHOR
Michael Somos, Aug 28 2005
STATUS
approved

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Last modified March 19 06:05 EDT 2024. Contains 370952 sequences. (Running on oeis4.)