|
%I #36 May 20 2014 23:04:09
%S 5,3,9,2,3,8,1,7,5,0,8,1,5,8,1,4,1,9,6,5,6,0,2,9,1,9,1,2,9,2,9,7,7,7,
%T 3,0,9,9,7,6,7,9,4,3,4,1,3,4,6,5,4,5,7,3,5,1,9,8,0,5,3,7,3,3,1,3,8,6,
%U 1,4,0,9,8,2,7,3,1,9,3,9,1,7,6,8,3,2,8,3,8,4,3,9,6,7,4,3,6,0,8,6
%N Decimal expansion of 'c', one of Polya's Random Walk constants, related to the asymptotics of the number of 3-D random walks starting from and returning to the origin.
%D S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 5.9 p. 325.
%F c = 9/32*(m3 + 6/(Pi^2*m3)), where m3 = A086231.
%e 0.53923817508158141965602919129297773...
%t m3 = A086231 = Sqrt[6]/32/Pi^3*Gamma[1/24]*Gamma[5/24]*Gamma[7/24]*Gamma[11/24]; c = 9/32*(m3 + 6/(Pi^2*m3)); RealDigits[c, 10, 100] // First
%Y Cf. A086089, A086231.
%K nonn,cons,walk
%O 0,1
%A _Jean-François Alcover_, May 19 2014
|
