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A289348
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Coefficients in expansion of E_6^(5/6).
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11
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1, -420, -31500, -4724160, -1314429900, -440028142344, -162555920654400, -63990327056960640, -26341675849615282380, -11210298679649742846180, -4895195936831699458605912, -2181913188022929464292248640
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: Product_{n>=1} (1-q^n)^(5*A288851(n)/6).
a(n) ~ c * exp(2*Pi*n) / n^(11/6), where c = -5 * 3^(1/6) * Gamma(1/4)^(40/3) / (2048*sqrt(2) * Pi^(19/2) * Gamma(1/3)^2) = -0.1571123439957640423587958439875289712533650298096956968521099309872... - Vaclav Kotesovec, Jul 08 2017, updated Mar 05 2018
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MATHEMATICA
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nmax = 20; CoefficientList[Series[(1 - 504*Sum[DivisorSigma[5, k]*x^k, {k, 1, nmax}])^(5/6), {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 08 2017 *)
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CROSSREFS
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E_6^(k/12): A109817 (k=1), A289325 (k=2), A289326 (k=3), A289327 (k=4), A289328 (k=5), A289293 (k=6), A289345 (k=7), A289346 (k=8), A289347 (k=9), this sequence (k=10), A289349 (k=11).
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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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