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

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

Table of n, a(n) for n=1..104.

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

Cf. A244997, A245025.

Sequence in context: A358833 A322117 A181778 * A125219 A075562 A316137

Adjacent sequences: A245023 A245024 A245025 * A245027 A245028 A245029

Keyword

nonn,cons,walk

Author

Jean-François Alcover, Jul 10 2014

Status

approved