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A086230 Decimal expansion of probability that a random walk on a 3-D lattice returns to the origin. 6
3, 4, 0, 5, 3, 7, 3, 2, 9, 5, 5, 0, 9, 9, 9, 1, 4, 2, 8, 2, 6, 2, 7, 3, 1, 8, 4, 4, 3, 2, 9, 0, 2, 8, 9, 6, 7, 1, 0, 6, 0, 8, 2, 1, 7, 1, 2, 4, 3, 0, 2, 0, 9, 7, 7, 6, 3, 2, 3, 6, 1, 0, 5, 3, 7, 7, 7, 9, 1, 9, 6, 9, 4, 5, 8, 9, 6, 2, 3, 8, 4, 6, 4, 2, 5, 2, 8, 0, 8, 1, 8, 8, 9, 0, 5, 7, 1, 3, 0, 9, 9, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Polya's Random Walk Constants

EXAMPLE

0.340537329550999142826273184432902896710608217124302097763236105377791969...

MATHEMATICA

RealDigits[1 - (16*Sqrt[2/3]*Pi^3) / (Gamma[1/24]*Gamma[5/24]*Gamma[7/24]*Gamma[11/24]), 10, 102] // First (* Jean-Fran├žois Alcover, Feb 08 2013, after Eric W. Weisstein *)

PROG

(PARI) 1-32*Pi^3/sqrt(6)/gamma(1/24)/gamma(5/24)/gamma(7/24)/gamma(11/24) \\ Charles R Greathouse IV, Jul 22 2013

CROSSREFS

Sequence in context: A220956 A021750 A197809 * A197485 A158677 A105576

Adjacent sequences:  A086227 A086228 A086229 * A086231 A086232 A086233

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jul 12, 2003

STATUS

approved

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Last modified July 26 07:06 EDT 2014. Contains 244924 sequences.