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 A007265 McKay-Thompson series of class 8A for Monster. (Formerly M5252) 4
 1, 0, 36, 128, 386, 1024, 2488, 5632, 12031, 24576, 48308, 91904, 170110, 307200, 542872, 941056, 1602819, 2686976, 4439688, 7238272, 11657090, 18561024, 29242240, 45617664, 70507772 (list; graph; refs; listen; history; text; internal format)
 OFFSET -1,3 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS G. C. Greubel, Table of n, a(n) for n = -1..1000 J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339. D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994). J. McKay and H. Strauss, The q-series of monstrous moonshine and the decomposition of the head characters, Comm. Algebra 18 (1990), no. 1, 253-278. FORMULA a(n) ~ exp(sqrt(2*n)*Pi) / (2^(5/4) * n^(3/4)). - Vaclav Kotesovec, Sep 07 2017 EXAMPLE T8A = 1/q + 36*q + 128*q^2 + 386*q^3 + 1024*q^4 + 2488*q^5 + 5632*q^6 + ... MATHEMATICA nmax = 50; CoefficientList[Series[-8*x + Product[((1 - x^(2*k))*(1 - x^(4*k))/((1 - x^k)*(1 - x^(8*k))))^8, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 07 2017 *) CROSSREFS Cf. A045490. Sequence in context: A238032 A250625 A057837 * A260130 A155708 A196891 Adjacent sequences:  A007262 A007263 A007264 * A007266 A007267 A007268 KEYWORD nonn AUTHOR STATUS approved

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Last modified January 17 00:44 EST 2019. Contains 319206 sequences. (Running on oeis4.)