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Search: id:A106205
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| A106205 |
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Expansion of (q*j(q))^(1/24) where j(q) is the elliptic modular invariant (A000521). |
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+0
2
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| 1, 31, -2848, 413823, -68767135, 12310047967, -2309368876639, 447436508910495, -88755684988520798, 17924937024841839390, -3671642907594608226078, 760722183234128461061246, -159105706560247952472114973
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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This is essentially the eighth root of the theta series of E_8 (A108091), divided by the Dedekind eta function. - N. J. A. Sloane (njas(AT)research.att.com), Aug 08 2005
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EXAMPLE
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1 + 31*q - 2848*q^2 + 413823*q^3 - 68767135*q^4 + 12310047967*q^5 - 2309368876639*q^6 + ...
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PROGRAM
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(PARI) {a(n)=if(n<0, 0, polcoeff( (ellj(x+x^2*O(x^n))*x)^(1/24), n))}
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CROSSREFS
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Cf. A000521.
Sequence in context: A159583 A062987 A136245 this_sequence A072913 A001237 A115736
Adjacent sequences: A106202 A106203 A106204 this_sequence A106206 A106207 A106208
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Apr 25 2005
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