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A058624
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McKay-Thompson series of class 30c for Monster.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,7
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COMMENTS
| 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
| 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
| Index entries for McKay-Thompson series for Monster simple group
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EXAMPLE
| 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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PROG
| (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
| Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Sequence in context: A178313 A190013 A171088 * A145856 A092154 A177344
Adjacent sequences: A058621 A058622 A058623 * A058625 A058626 A058627
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 27, 2000
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