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 A272413 Asymptotic mean (normalized by n) of the second longest cycle in a random permutation on n symbols. 3
 2, 0, 9, 5, 8, 0, 8, 7, 4, 2, 8, 4, 1, 8, 5, 8, 1, 3, 9, 8, 9, 0, 2, 9, 6, 5, 7, 8, 1, 5, 3, 4, 9, 5, 5, 6, 9, 0, 1, 1, 3, 1, 0, 3, 2, 0, 1, 6, 2, 3, 4, 3, 3, 0, 0, 0, 6, 9, 2, 1, 5, 9, 8, 8, 1, 4, 8, 5, 3, 1, 0, 8, 8, 4, 6, 4, 2, 8, 7, 2, 6, 3, 4, 2, 8, 7, 1, 6, 3, 6, 8, 2, 9, 8, 8, 3, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.4 Golomb-Dickman Constant, p. 285. LINKS Xavier Gourdon, Combinatoire, Algorithmique et Géométrie des Polynomes Ecole Polytechnique, Paris 1996, page 152 [in French] Eric Weisstein's MathWorld, Golomb-Dickman Constant Wikipedia, Golomb-Dickman constant FORMULA Integral_{0..infinity} 1 - exp(Ei(-x))*(1 - Ei(-x)) dx, where Ei is the exponential integral. EXAMPLE 0.20958087428418581398902965781534955690113103201623433... MATHEMATICA digits = 98; NIntegrate[1 - Exp[ExpIntegralEi[-x]]*(1 - ExpIntegralEi[-x]), {x, 0, 200}, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First CROSSREFS Cf. A084945, A247398. Sequence in context: A262177 A136319 A176057 * A152566 A021481 A029686 Adjacent sequences:  A272410 A272411 A272412 * A272414 A272415 A272416 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Apr 29 2016 STATUS approved

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Last modified April 18 05:44 EDT 2021. Contains 343072 sequences. (Running on oeis4.)