A241624 Decimal expansion of 'c', one of Polya's Random Walk constants, related to the asymptotics of the number of 3-D random walks starting from and returning to the origin.

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

Offset

0,1

References

S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 5.9 p. 325.

Links

Table of n, a(n) for n=0..99.

Formula

c = 9/32*(m3 + 6/(Pi^2*m3)), where m3 = A086231.

Example

0.53923817508158141965602919129297773...

Mathematica

m3 = A086231 = Sqrt[6]/32/Pi^3*Gamma[1/24]*Gamma[5/24]*Gamma[7/24]*Gamma[11/24]; c = 9/32*(m3 + 6/(Pi^2*m3)); RealDigits[c, 10, 100] // First

Crossrefs

Cf. A086089, A086231.

Sequence in context: A192039 A305327 A112812 * A159275 A059031 A245516

Adjacent sequences: A241621 A241622 A241623 * A241625 A241626 A241627

Keyword

nonn,cons,walk

Author

Jean-François Alcover, May 19 2014

Status

approved