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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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4
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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;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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-1,3
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COMMENTS
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Also normalized Hauptmodul for Gamma_0(6).
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REFERENCES
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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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=-1..47.
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: A020794 A112148 * A045488 A082530 A099404 A095156
Adjacent sequences: A007255 A007256 A007257 * 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.
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STATUS
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approved
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