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%I A248878 #16 Nov 05 2025 15:22:28
%S A248878 8,1,0,9,9,7,5,3,1,1,9,6,2,8,9,5,8,5,0,3,7,8,7,2,3,9,2,3,1,8,0,0,7,9,
%T A248878 4,2,8,9,5,5,2,4,7,0,3,4,2,6,7,4,1,0,4,6,0,3,9,1,6,3,8,9,6,0,0,4,1,8,
%U A248878 7,7,1,9,1,7,1,9,7,8,4,5,7,5,5,5,1,9,3,7,9,0,1,6,0,5,9,1,1,4,3,3,6,8,4,3,7
%N A248878 Decimal expansion of a_0, a constant related to a cylindrical random walk probability asymptotics.
%H A248878 Saibal Mitra and Bernard Nienhuis, <a href="https://arxiv.org/abs/math-ph/0312036">Osculating Random Walks on Cylinders</a>, arXiv:0708.1763 [math-ph], 2003.
%H A248878 Saibal Mitra, <a href="https://arxiv.org/abs/0708.1763">Exact asymptotics of the characteristic polynomial of the symmetric Pascal matrix</a>, arXiv:0708.1763 [math-ph], 2007-2008.
%F A248878 a_0 = (2^(23/72)/3^(5/48))*((Pi^(1/4)*exp((-4^(-1))*zeta'(-1)))/sqrt(Gamma(1/4))).
%e A248878 0.810997531196289585037872392318007942895524703426741046...
%t A248878 a0 = 2^(23/72)*(Glaisher*Pi)^(1/4)/(3^(5/48)*E^(1/48)*Sqrt[Gamma[1/4]]); RealDigits[a0, 10, 105] // First
%Y A248878 Cf. A074962.
%K A248878 nonn,cons,easy
%O A248878 0,1
%A A248878 _Jean-François Alcover_, Mar 05 2015

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