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Search: id:A058624
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| A058624 |
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McKay-Thompson series of class 30c for Monster. |
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+0
2
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| 1, -1, -1, 1, -1, -1, 3, 0, -2, 4, -3, -2, 6, -3, -4, 8, -6, -6, 13, -8, -8, 18, -9, -11, 26, -13, -15, 32, -19, -20, 47, -26, -29, 60, -34, -36, 82, -42, -49, 104, -58, -61, 136, -72, -81, 174, -99, -104, 225, -122, -132, 284, -151, -166, 362, -194, -209, 448
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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G.f. A(x)=y satisfies 0=f(A(x)^2/x,A(x^2)^2/x^2) where f(u,v)=u^3+v^3-4uv(u+v)-9uv-(uv)^2. - Michael Somos Mar 26 2004
Euler transform of period 15 sequence [ -1,-1,0,-1,-2,0,-1,-1,0,-2,-1,0,-1,-1,0,...]. - Michael Somos Mar 26 2004
Expansion of q^(1/2)(eta(q)eta(q^5))/(eta(q^3)eta(q^15)) in powers of q. - Michael Somos Mar 26 2004
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REFERENCES
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D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
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LINKS
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Index entries for McKay-Thompson series for Monster simple group
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EXAMPLE
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T30c = 1/q - q - q^3 + q^5 - q^7 - q^9 + 3*q^11 - 2*q^15 + 4*q^17 - 3*q^19 - ...
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PROGRAM
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(PARI) a(n)=local(X); if(n<0, 0, X=x+x*O(x^n); polcoeff((eta(X)*eta(X^5))/(eta(X^3)*eta(X^15)), n))
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CROSSREFS
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Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Sequence in context: A112974 A113069 A136163 this_sequence A145856 A092154 A139585
Adjacent sequences: A058621 A058622 A058623 this_sequence A058625 A058626 A058627
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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), Nov 27, 2000
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