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A289517
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Expansion of 1/j^10 where j is the elliptic modular invariant (A000521).
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7
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1, -7440, 28475640, -74704723520, 151031520191580, -250835888956579488, 356272260416109602240, -444864441668603737630080, 498241081014831011965132710, -508187364230945384698554319920, 477695553082956543572082694287840
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OFFSET
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10,2
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LINKS
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FORMULA
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a(n) ~ (-1)^n * 2^(3*k) * Pi^(12*k) * exp(Pi*sqrt(3)*n) * n^(3*k - 1) / (3^(3*k) * Gamma(1/3)^(18*k) * Gamma(3*k)), set k = 10. - Vaclav Kotesovec, Mar 07 2018
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MATHEMATICA
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a[n_] := SeriesCoefficient[1/(1728*KleinInvariantJ[-Log[q]*I/(2*Pi)])^10, {q, 0, n}]; Table[a[n], {n, 10, 20}] (* Jean-François Alcover, Nov 02 2017 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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