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 A007257 McKay-Thompson series of class 6D for Monster. (Formerly M2147) 3
 1, 0, -2, 28, -27, -52, 136, -108, -162, 620, -486, -760, 1970, -1404, -1940, 6048, -4293, -6100, 15796, -10692, -14264, 40232, -27108, -36496, 93285, -61020, -79054, 211624, -137781, -179296, 451680, -288360, -365780 (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 Expansion of 4 + (eta(q)*eta(q^2)/(eta(q^3)*eta(q^6)))^4 in powers of q. - G. C. Greubel, Jan 30 2018 EXAMPLE T6D = 1/q - 2*q + 28*q^2 - 27*q^3 - 52*q^4 + 136*q^5 - 108*q^6 - 162*q^7 + ... MATHEMATICA eta[q_] := q^(1/24)*QPochhammer[q]; a[n_]:= SeriesCoefficient[4 + (eta[q] *eta[q^2]/(eta[q^3]*eta[q^6]))^4, {q, 0, n}]; Table[a[n], {n, -1, 50}] (* G. C. Greubel, Jan 30 2018 *) PROG (PARI) q='q+O('q^30); a= 4 + (eta(q)*eta(q^2)/(eta(q^3)*eta(q^6)))^4/q; Vec(a) \\ G. C. Greubel, Jun 02 2018 CROSSREFS Cf. A045487. Sequence in context: A076113 A182335 A056013 * A045487 A022376 A177829 Adjacent sequences:  A007254 A007255 A007256 * A007258 A007259 A007260 KEYWORD sign AUTHOR STATUS approved

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Last modified January 21 11:00 EST 2019. Contains 319351 sequences. (Running on oeis4.)