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A245026 Decimal expansion of the moment derivative W_4'(2) associated with the radial probability distribution of a 4-step uniform random walk. 1

%I #5 Jul 10 2014 10:12:00

%S 3,4,8,9,2,5,9,3,9,1,5,6,1,9,6,9,9,0,6,3,6,7,5,3,2,1,4,7,8,6,7,9,3,5,

%T 8,2,5,3,7,9,7,2,1,7,8,2,4,5,1,5,8,1,8,4,4,0,1,9,1,1,7,4,4,9,3,7,6,0,

%U 4,0,3,5,3,3,6,9,6,4,1,0,3,1,6,6,1,9,8,5,4,6,6,2,2,1,5,0,9,7,2,2,9,7,6,7

%N Decimal expansion of the moment derivative W_4'(2) associated with the radial probability distribution of a 4-step uniform random walk.

%H Jonathan M. Borwein, Armin Straub, James Wan, and Wadim Zudilin, <a href="http://dx.doi.org/10.4153/CJM-2011-079-2">Densities of Short Uniform Random Walks</a> p. 978, Canad. J. Math. 64(2012), 961-990.

%F W_4'(2) = 3 + (14*zeta(3) - 12)/Pi^2.

%e 3.48925939156196990636753214786793582537972178245158184401911744937604...

%t RealDigits[3 + (14*Zeta[3] - 12)/Pi^2 , 10, 104] // First

%Y Cf. A244997, A245025.

%K nonn,cons,walk

%O 1,1

%A _Jean-François Alcover_, Jul 10 2014

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