The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A112164 McKay-Thompson series of class 24g for the Monster group. 3
 1, 3, -1, 3, -2, 9, 2, 9, -1, 24, 0, 27, 5, 51, -3, 60, -4, 108, 6, 129, -3, 210, -4, 252, 12, 393, -8, 474, -10, 702, 16, 852, -9, 1224, -8, 1485, 29, 2070, -17, 2511, -22, 3429, 38, 4155, -20, 5556, -20, 6723, 61, 8856, -36, 10695, -44, 13878, 80, 16722, -43, 21450, -44, 25785 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..2500 D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994). FORMULA Expansion of A + 3*q/A, where A = q^(1/2)*eta(q^2)*eta(q^4)/(eta(q^6) * eta(q^12)), in powers of q. - G. C. Greubel, Jun 25 2018 EXAMPLE T24g = 1/q + 3*q - q^3 + 3*q^5 - 2*q^7 + 9*q^9 + 2*q^11 + 9*q^13 + ... MATHEMATICA eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^2]*eta[q^4]/( eta[q^6]*eta[q^12]));  a:= CoefficientList[Series[A + 3*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 25 2018 *) PROG (PARI) q='q+O('q^60); A = eta(q^2)*eta(q^4)/(eta(q^6)*eta(q^12)); Vec(A + 3*q/A) \\ G. C. Greubel, Jun 25 2018 CROSSREFS Sequence in context: A248947 A133916 A058589 * A300580 A075676 A298262 Adjacent sequences:  A112161 A112162 A112163 * A112165 A112166 A112167 KEYWORD sign AUTHOR Michael Somos, Aug 28 2005 STATUS approved

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

Last modified May 14 19:38 EDT 2021. Contains 343902 sequences. (Running on oeis4.)