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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
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, 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, 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
OFFSET
1,1
LINKS
Jonathan M. Borwein, Armin Straub, James Wan, and Wadim Zudilin, Densities of Short Uniform Random Walks p. 978, Canad. J. Math. 64(2012), 961-990.
FORMULA
W_4'(2) = 3 + (14*zeta(3) - 12)/Pi^2.
EXAMPLE
3.48925939156196990636753214786793582537972178245158184401911744937604...
MATHEMATICA
RealDigits[3 + (14*Zeta[3] - 12)/Pi^2 , 10, 104] // First
CROSSREFS
Sequence in context: A358833 A322117 A181778 * A125219 A075562 A316137
KEYWORD
nonn,cons,walk
AUTHOR
STATUS
approved