A244292 Decimal expansion of B, a constant related to the Goh-Schmutz constant and the asymptotic expected order of a random permutation.

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

Offset: 1

Author

Jean-François Alcover, Jun 25 2014

Keywords

• nonn
• cons

Examples

			B = 2.99047039937190479877827516942...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.4.1 Symmetric Group, p. 287.

Links

• Eric Weisstein's MathWorld, Goh-Schmutz Constant

Crossrefs

Cf. A143300.

Programs

Mathematica

b = NIntegrate[Log[1 + t]/(E^t - 1), {t, 0, Infinity}, WorkingPrecision -> 100]; B = 2*Sqrt[2*b]; RealDigits[B] // First

Formula

B = 2*sqrt(2*b), with b = A143300 = Goh-Schmutz constant = integral_(0..infinity) log(1 + t)/(e^t - 1) dt = 1.11786...