A058526 McKay-Thompson series of class 16e for the Monster group.

1, 2, -2, 4, 3, 2, -6, 4, 7, 12, -10, 16, 16, 14, -20, 20, 29, 40, -40, 52, 52, 52, -70, 68, 91, 114, -116, 148, 149, 152, -190, 196, 242, 296, -306, 368, 383, 396, -478, 496, 590, 698, -730, 856, 897, 940, -1096, 1152, 1342, 1548, -1630, 1876, 1975, 2080, -2390, 2516

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

Example

T16e = 1/q + 2*q - 2*q^3 + 4*q^5 + 3*q^7 + 2*q^9 - 6*q^11 + 4*q^13 + ...

Mathematica

eta[q_]:= q^(1/24)*QPochhammer[q]; nmax = 100; e4D := q^(1/2)*(eta[q]/eta[q^2])^12; T4B := e4D + 64*q/e4D; T8C := (((e4D + 64*q/e4D) /. {q -> q^4}) + O[q]^nmax)^(1/2); a:= CoefficientList[Series[(1 + 4*q + ((T8C - 1) // Normal /. {q -> q^4}) + O[q]^nmax)^(1/2), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 20 2018 *)

Crossrefs

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

Sequence in context: A246836 A246953 A045828 * A112153 A112154 A112155

Adjacent sequences: A058523 A058524 A058525 * A058527 A058528 A058529

Keyword

sign

Author

N. J. A. Sloane, Nov 27 2000

Status

approved