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

Author

Jean-François Alcover, May 19 2014

Keywords

• nonn
• cons
• walk

Examples

			0.53923817508158141965602919129297773...
		

References

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

Crossrefs

Cf. A086089, A086231.

Programs

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

Formula

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