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%I #30 Mar 11 2023 08:42:25
%S 1,-1,0,3,3,-51,-75,2253,1491,-192651,-187275,27071553,278562603,
%T -5649998901,-36187521825,1637735135403,25110810761403,
%U -628821435060051,-1403714584628625,308746181051792553,6294348598730683953,-188636884672112018601,-2161564244998001617125
%N Numerators of coefficients in an asymptotic expansion of the Wallis sequence in inverse powers of n+5/8.
%D 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).
%H Chao-Ping Chen, Richard B. Paris, <a href="https://arxiv.org/abs/1511.09217">On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas</a>, arXiv:1511.09217 [math.CA], 2015. See (3.1).
%H N. Elezovic, L. Lin, L. Vukšic, <a href="http://dx.doi.org/10.7153/jmi-07-62">Inequalities and asymptotic expansions for the Wallis sequence and the sum of the Wallis ratio</a>, J. Math. Inequal. 7 (2013) 679-695. See p. 687.
%t 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 *)
%Y Cf. A292754.
%K sign
%O 0,4
%A _N. J. A. Sloane_, Sep 25 2017
%E a(2)=0 inserted by _Michel Marcus_, Jun 02 2019
%E More terms from _Vaclav Kotesovec_, Jun 02 2019