A243317 Decimal expansion of sqrt(8/Pi)*log(2), a constant related to the asymptotic evaluation of the minimum number of one-dimensional random walks that have to be examined to compute the maximum.

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

Offset: 1

Author

Jean-François Alcover, Jun 03 2014

Keywords

• nonn
• cons
• easy
• walk

Examples

			1.1061028674656327492516728787146433988...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.9 Polya's Random Walk Constants, p. 326.

Links

• Eric Weisstein's MathWorld, Polya's Random Walk Constants.

Crossrefs

Cf. A002162, A132698.

Programs

Mathematica

RealDigits[Sqrt[8/Pi]*Log[2], 10, 104] // First

PARI

sqrt(8/Pi)*log(2) \\ Stefano Spezia, Dec 14 2024

Formula

Equals sqrt(8/Pi)*log(2).