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A112152 McKay-Thompson series of class 16c for the Monster group. 1
1, -4, -2, -8, -1, -20, 2, -40, 3, -72, -2, -128, -4, -220, 4, -360, 5, -576, -8, -904, -8, -1384, 10, -2088, 11, -3108, -12, -4552, -15, -6592, 18, -9448, 22, -13392, -26, -18816, -29, -26216, 34, -36224, 38, -49700, -42, -67728, -51, -91688, 56, -123392, 66, -165128, -78, -219784, -85, -291072 (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 - 4*q/A, where A = q^(1/2)*(eta(q^2)/eta(q^8))^2, in powers of q. - G. C. Greubel, Jun 26 2018
EXAMPLE
T16c = 1/q -4*q -2*q^3 -8*q^5 -q^7 -20*q^9 +2*q^11 -40*q^13 +...
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^2]/eta[q^8])^2; a:= CoefficientList[Series[A - 4*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 26 2018 *)
PROG
(PARI) q='q+O('q^50); A = (eta(q^2)/eta(q^8))^2; Vec(A -4*q/A) \\ G. C. Greubel, Jun 26 2018
CROSSREFS
Sequence in context: A029841 A112143 A112151 * A211883 A083489 A065464
KEYWORD
sign
AUTHOR
Michael Somos, Aug 28 2005
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)