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A299832
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Coefficients in expansion of (q*j(q))^(-1/2) where j(q) is the elliptic modular invariant (A000521).
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3
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1, -372, 109134, -29582728, 7708451301, -1961287513020, 491099261627462, -121565597132437848, 29833005033279338994, -7271987659286598049924, 1763026435863342757734816, -425536800137353949416343064, 102330765938465480149314691831
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..12.
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FORMULA
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Convolution inverse of A161361.
a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n) * sqrt(n), where c = 1.26222636056850175307711547840462898041775779303411175244... = 2^(5/2) * exp(sqrt(3) * Pi/2) * Pi^(11/2) / (3^(3/2) * Gamma(1/3)^9). - Vaclav Kotesovec, Feb 20 2018, updated Mar 06 2018
a(n) * A161361(n) ~ 3*exp(2*sqrt(3)*Pi*n) / (2*Pi*n^2). - Vaclav Kotesovec, Feb 20 2018
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MATHEMATICA
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CoefficientList[Series[(2 * QPochhammer[-1, x])^12 / (65536 + x*QPochhammer[-1, x]^24)^(3/2), {x, 0, 20}], x] (* Vaclav Kotesovec, Feb 20 2018 *)
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CROSSREFS
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Cf. A000521, A161361.
Sequence in context: A161361 A265659 A238774 * A203439 A265235 A202912
Adjacent sequences: A299829 A299830 A299831 * A299833 A299834 A299835
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KEYWORD
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sign
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AUTHOR
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Seiichi Manyama, Feb 20 2018
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STATUS
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approved
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