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

1,1

References

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

Links

Table of n, a(n) for n=1..100.

Eric Weisstein's MathWorld, Goh-Schmutz Constant

Formula

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

Example

B = 2.99047039937190479877827516942...

Mathematica

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

Crossrefs

Cf. A143300.

Sequence in context: A348637 A104954 A389930 * A011072 A175295 A198141

Adjacent sequences: A244289 A244290 A244291 * A244293 A244294 A244295

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 25 2014

Status

approved