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A331405
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G.f.: 1/(1 - 1*2*x/(1 + 2*3*x/(1 - 3*4*x/(1 + 4*5*x/(1 - 5*6*x/(1 + ...)))))), a continued fraction.
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1
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1, 2, -8, -112, 2176, 71936, -3163136, -196237312, 15258124288, 1531746516992, -185088737017856, -27405687884087296, 4747122204712370176, 973473732763710390272, -228670532983871365971968, -62056343388674412796444672, 18982531521384459634512756736
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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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a(n) ~ sin((2*n+1)*Pi/4) * 2^(6*n + 8) * Pi^(n + 3/2) * n^(2*n + 3/2) / (exp(2*n) * Gamma(1/4)^(4*n + 4)). - Vaclav Kotesovec, Jan 28 2020
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MATHEMATICA
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nmax = 16; CoefficientList[Series[1/(1 + ContinuedFractionK[(-1)^k k (k + 1) x, 1, {k, 1, nmax}]), {x, 0, nmax}], x]
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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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