A334472 Decimal expansion of constant for simple random walks.

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, 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, 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

Offset

1,3

Links

Table of n, a(n) for n=1..105.

Gregory F. Lawler and Vlada Limic, Random Walk: A Modern Introduction, Cambridge University Press (2010). See Theorem 4.4.4.

Formula

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

Example

1.0293737056545707417079382326415054386025863684315312609121385346196....

Mathematica

RealDigits[(2*EulerGamma + 3*Log[2])/Pi, 10, 120][[1]] (* Amiram Eldar, May 31 2023 *)

Prog

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

Crossrefs

Cf. A001620.

Sequence in context: A021777 A329209 A095802 * A243448 A087013 A074948

Adjacent sequences: A334469 A334470 A334471 * A334473 A334474 A334475

Keyword

nonn,cons

Author

Charles R Greathouse IV, May 05 2020

Status

approved