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A086233 Decimal expansion of the probability that a random walk on the 5-d simple cubic (hypercubic) lattice returns to the origin. 11

%I #30 Feb 21 2023 12:18:17

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

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

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

%N Decimal expansion of the probability that a random walk on the 5-d simple cubic (hypercubic) lattice returns to the origin.

%H Marc Mezzarobba, <a href="/A086233/b086233.txt">Table of n, a(n) for n = 0..9999</a>

%H F. Bornemann, <a href="https://doi.org/10.1137/1.9780898717969.ch6">Biasing for a Fair Return</a>, in: F. Bornemann, D. Laurie, S. Wagon, J. Waldvogel, The SIAM 100-digit Challenge: A Study in High-accuracy Numerical Computing, SIAM, 2004. See Table 6.1 at p. 146.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PolyasRandomWalkConstants.html">Polya's Random Walk Constants</a>.

%F Equals 1-1/A242813. - _Andrey Zabolotskiy_, Dec 28 2018

%e 0.1351786098206552...

%Y Cf. A086230, A086232, A086234, A086235, A086236, A242813.

%K nonn,cons

%O 0,2

%A _Eric W. Weisstein_, Jul 12 2003

%E More terms from _Andrey Zabolotskiy_, Dec 28 2018 based on A242813

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Last modified July 18 01:34 EDT 2024. Contains 374377 sequences. (Running on oeis4.)