The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A058100 McKay-Thompson series of class 10D for the Monster group. 2
 1, 0, 21, 62, 162, 378, 819, 1680, 3276, 6138, 11145, 19662, 33840, 57048, 94362, 153432, 245757, 388218, 605466, 933414, 1423614, 2149586, 3215844, 4769544, 7016572, 10243896, 14848809, 21378276, 30582360, 43484304, 61473438, 86428896 (list; graph; refs; listen; history; text; internal format)
 OFFSET -1,3 LINKS G. C. Greubel, Table of n, a(n) for n = -1..1000 D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994). FORMULA G.f. is Fourier series of a weight 0 level 10 modular form. f(-1/ ( 10 t)) = f(t) where q = exp(2 Pi i t). Expansion of -6 + ((eta(q^2)*eta(q^5))/(eta(q)*eta(q^10)))^6 in powers of q. - G. C. Greubel, May 05 2018 a(n) ~ exp(2*Pi*sqrt(2*n/5)) / (2^(3/4) * 5^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 28 2018 EXAMPLE T10D = 1/q + 21*q + 62*q^2 + 162*q^3 + 378*q^4 + 819*q^5 + 1680*q^6 + ... MATHEMATICA eta[q_]:= q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[-6 + ((eta[q^2]*eta[q^5])/(eta[q]*eta[q^10]))^6, {q, 0, 50}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, May 05 2018 *) PROG (PARI) q='q+O('q^30); Vec(-6 + ((eta(q^2)*eta(q^5))/(eta(q)* eta(q^10)) )^6/q) \\ G. C. Greubel, May 05 2018 CROSSREFS Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc. Cf. A132130(n) = a(n) unless n=0. Sequence in context: A126375 A146468 A081302 * A219856 A195106 A143203 Adjacent sequences: A058097 A058098 A058099 * A058101 A058102 A058103 KEYWORD nonn AUTHOR N. J. A. Sloane, Nov 27 2000 EXTENSIONS More terms from Michel Marcus, Feb 19 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 28 22:51 EST 2022. Contains 358421 sequences. (Running on oeis4.)