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A244292 Decimal expansion of B, a constant related to the Goh-Schmutz constant and the asymptotic expected order of a random permutation. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A198358 A145427 A104954 * A011072 A175295 A198141

Adjacent sequences:  A244289 A244290 A244291 * A244293 A244294 A244295

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jun 25 2014

STATUS

approved

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Last modified January 29 04:57 EST 2020. Contains 331335 sequences. (Running on oeis4.)