The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons 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 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A058670 McKay-Thompson series of class 41A for Monster. 1
 1, 0, 2, 2, 3, 4, 7, 8, 11, 14, 19, 22, 30, 36, 46, 56, 70, 84, 106, 124, 153, 182, 221, 260, 314, 368, 440, 516, 611, 712, 842, 976, 1145, 1326, 1547, 1784, 2075, 2386, 2761, 3168, 3651, 4178, 4802, 5478, 6272, 7144, 8155, 9264, 10550, 11956, 13579, 15362 (list; graph; refs; listen; history; text; internal format)
 OFFSET -1,3 LINKS G. C. Greubel, Table of n, a(n) for n = -1..2500 D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994). David A. Madore, Coefficients of Moonshine (McKay-Thompson) series, The Math Forum FORMULA Expansion of (G(q^41)*H(q) - q^8*H(q^41)*G(q))^2, in powers of q, where G() is g.f. of A003114 and H() is g.f. of A003106. - G. C. Greubel, Jul 03 2018 a(n) ~ exp(4*Pi*sqrt(n/41)) / (sqrt(2) * 41^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jul 04 2018 EXAMPLE T41A = 1/q + 2*q + 2*q^2 + 3*q^3 + 4*q^4 + 7*q^5 + 8*q^6 + 11*q^7 + 14*q^8 + ... MATHEMATICA QP := QPochhammer; f[x_, y_] := QP[-x, x*y]*QP[-y, x*y]*QP[x*y, x*y]; G[x_] := f[-x^2, -x^3]/f[-x, -x^2]; H[x_] := f[-x, -x^4]/f[-x, -x^2]; b:= G[x^41]*H[x] - x^8*H[x^41]*G[x]; a:= CoefficientList[Series[b^2, {x, 0, 90}], x]; Table[a[[n]], {n, 1, 80}] (* G. C. Greubel, Jul 03 2018 *) CROSSREFS Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc. Sequence in context: A328789 A086969 A014692 * A215367 A276526 A091605 Adjacent sequences:  A058667 A058668 A058669 * A058671 A058672 A058673 KEYWORD nonn AUTHOR N. J. A. Sloane, Nov 27 2000 EXTENSIONS More terms from Michel Marcus, Feb 20 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 2 05:01 EST 2021. Contains 349437 sequences. (Running on oeis4.)