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A292753
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Numerators of coefficients in an asymptotic expansion of the Wallis sequence in inverse powers of n+5/8.
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0
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1, -1, 0, 3, 3, -51, -75, 2253, 1491, -192651, -187275, 27071553, 278562603, -5649998901, -36187521825, 1637735135403, 25110810761403, -628821435060051, -1403714584628625, 308746181051792553, 6294348598730683953, -188636884672112018601, -2161564244998001617125
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OFFSET
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0,4
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REFERENCES
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Chao-Ping Chen, Richard B. Paris, On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas, Applied Mathematics and Computation 293 (2017) 30-39. See (3.1).
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LINKS
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MATHEMATICA
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Numerator[CoefficientList[Series[Gamma[n + 3/8]^2 / (2*Gamma[n - 1/8] * Gamma[n + 7/8]), {n, Infinity, 25}], 1/n]] (* Vaclav Kotesovec, Jun 02 2019 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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