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Search: id:A062246
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| A062246 |
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McKay-Thompson series of class 27c for Monster. |
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+0
3
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| 1, -1, -1, 0, 0, 1, 0, 1, 0, 1, -1, -1, -1, 0, 1, -1, 1, 0, 2, -2, -2, -1, 1, 2, -1, 2, 1, 3, -3, -3, -2, 1, 3, -2, 3, 0, 5, -5, -5, -3, 1, 5, -3, 5, 1, 7, -7, -7, -5, 2, 7, -4, 7, 1, 11, -11, -11, -6, 3, 11, -6, 11, 2, 15, -15, -15, -10, 4, 15, -9, 14, 2, 22, -22, -22, -13, 6, 21, -12, 21, 4, 30, -30, -30, -19, 8, 29, -17, 28, 4, 42
(list; graph; listen)
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OFFSET
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0,19
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COMMENT
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Euler transform of period 9 sequence [ -1,-1,-1,-1,-1,-1,-1,-1,0,...].
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REFERENCES
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J. McKay and A. Sebbar, Fuchsian groups, automorphic functions and Schwarzians, Math. Ann., 318 (2000), 255-275.
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
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FORMULA
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Expansion of q^(1/3)*eta(q)/eta(q^9) in powers of q.
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EXAMPLE
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T27c = 1/q - q^2 - q^5 + q^14 + q^20 + q^26 - q^29 - q^32 - q^35 + q^41 - ...
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PROGRAM
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(PARI) a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff(eta(x+A)/eta(x^9+A), n)) /* Michael Somos Jun 26 2004 */
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CROSSREFS
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Cf. A007706. A062245(n)=(-1)^n*a(n).
Sequence in context: A058745 A108393 A062245 this_sequence A037811 A091237 A134143
Adjacent sequences: A062243 A062244 A062245 this_sequence A062247 A062248 A062249
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KEYWORD
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sign
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AUTHOR
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njas, Jul 01 2001
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EXTENSIONS
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Additional comments from Michael Somos, Jun 28 2004
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