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Search: id:A007258
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| A007258 |
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McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).
(Formerly M4052)
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+0
5
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| 1, 0, 6, 4, -3, -12, -8, 12, 30, 20, -30, -72, -46, 60, 156, 96, -117, -300, -188, 228, 552, 344, -420, -1008, -603, 732, 1770, 1048, -1245, -2976, -1776, 2088, 4908, 2900, -3420, -7992, -4658, 5460, 12756, 7408, -8583, -19944, -11564, 13344, 30756, 17744, -20448, -46944, -26916
(list; graph; listen)
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OFFSET
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-1,3
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COMMENT
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Also normalized Hauptmodul for Gamma_0(6).
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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 A. Sebbar, Fuchsian groups, automorphic functions and Schwarzians, Math. Ann., 318 (2000), 255-275.
McKay, John; Strauss, Hubertus. The q-series of monstrous moonshine and the decomposition of the head characters. Comm. Algebra 18 (1990), no. 1, 253-278.
Newman, Morris; Construction and application of a class of modular functions. II. Proc. London Math. Soc. (3) 9 1959 373-387.
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LINKS
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Index entries for McKay-Thompson series for Monster simple group
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FORMULA
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Expansion of 5 + eta(q)^5*eta(q^3)/(eta(q^2)*eta(q^6)^5) in powers of q.
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EXAMPLE
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T6E = 1/q + 6*q + 4*q^2 - 3*q^3 - 12*q^4 - 8*q^5 + 12*q^6 + 30*q^7 + ...
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CROSSREFS
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Essentially same as A045488.
Sequence in context: A011097 A020794 A112148 this_sequence A045488 A082530 A099404
Adjacent sequences: A007255 A007256 A007257 this_sequence A007259 A007260 A007261
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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