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A058662 McKay-Thompson series of class 40A for Monster. 1
1, 1, 4, 1, 5, 6, 10, 9, 15, 15, 27, 27, 44, 41, 65, 67, 96, 104, 141, 150, 209, 223, 302, 317, 420, 459, 592, 642, 811, 890, 1122, 1225, 1530, 1664, 2055, 2262, 2754, 3035, 3658, 4030, 4847, 5344, 6382, 7011, 8325, 9193, 10832, 11961, 14000, 15465, 18064, 19929, 23172, 25544, 29575 (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

a(n) ~ exp(sqrt(2*n/5)*Pi) / (2^(5/4) * 5^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 27 2018

EXAMPLE

T40A = 1/q + q^3 + 4*q^7 + q^11 + 5*q^15 + 6*q^19 + 10*q^23 + 9*q^27 + ...

MATHEMATICA

eta[q_] := q^(1/24)*QPochhammer[q];  nmax = 100; A := q^(1/2)*(eta[q]* eta[q^5]/(eta[q^2]*eta[q^10]))^2; a := CoefficientList[Series[((A + 4*q/A) + O[q]^nmax)^(1/2), {q, 0, 70}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 24 2018 *)

CROSSREFS

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

Sequence in context: A117379 A007309 A084890 * A133866 A242131 A177266

Adjacent sequences:  A058659 A058660 A058661 * A058663 A058664 A058665

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 27 2000

EXTENSIONS

Terms a(6) onward added by G. C. Greubel, Jun 24 2018

STATUS

approved

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Last modified January 18 16:40 EST 2019. Contains 319271 sequences. (Running on oeis4.)