A258104 - OEIS

A258104

Decimal expansion of W_3(-1), the average reciprocal distance to the origin in a 3-step random walk in the plane.

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

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OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

Jonathan M. Borwein, Armin Straub, and James Wan, Three-Step and Four-Step Random Walk Integrals.

FORMULA

Equals (3*2^(1/3))/(16*Pi^4)*Gamma(1/3)^6.

Equals (2^(1/3))/(4*Pi^2)*Beta(1/3, 1/3)^2.

EXAMPLE

0.8964407887767628642327709000349704991387844034162414609834833987...

MATHEMATICA