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Decimal expansion of constant for simple random walks.
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%I #13 May 31 2023 04:26:45

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

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

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

%N Decimal expansion of constant for simple random walks.

%H Gregory F. Lawler and Vlada Limic, <a href="https://www.math.uchicago.edu/~lawler/srwbook.pdf">Random Walk: A Modern Introduction</a>, <a href="https://www.cambridge.org/core/books/random-walk-a-modern-introduction/7DA2A372B5FE450BB47C5DBD43D460D2">Cambridge University Press</a> (2010). See Theorem 4.4.4.

%F Equals (2*gamma + log(8))/Pi, where gamma is Euler's constant.

%e 1.0293737056545707417079382326415054386025863684315312609121385346196....

%t RealDigits[(2*EulerGamma + 3*Log[2])/Pi, 10, 120][[1]] (* _Amiram Eldar_, May 31 2023 *)

%o (PARI) (2*Euler+log(8))/Pi

%Y Cf. A001620.

%K nonn,cons

%O 1,3

%A _Charles R Greathouse IV_, May 05 2020