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 A272429 Asymptotic mean (normalized by n) of the second largest connected component in a random mapping on n symbols. 1
 1, 7, 0, 9, 0, 9, 6, 1, 9, 8, 5, 9, 6, 6, 2, 3, 9, 2, 1, 4, 4, 6, 0, 7, 2, 8, 4, 1, 3, 3, 1, 1, 7, 3, 8, 7, 0, 4, 7, 1, 9, 0, 7, 2, 9, 6, 2, 6, 2, 8, 8, 3, 2, 3, 5, 5, 8, 5, 3, 8, 8, 1, 0, 0, 6, 3, 9, 8, 3, 6, 9, 5, 3, 0, 1, 5, 3, 7, 3, 9, 8, 9, 6, 4, 8, 2, 6, 6, 5, 3, 7, 5, 5, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.4.2 Random mapping statistics, p. 290. LINKS Xavier Gourdon, Combinatoire, Algorithmique et Géométrie des Polynomes Ecole Polytechnique, Paris 1996, page 152 (in French) Eric Weisstein's MathWorld, Flajolet-Odlyzko Constant FORMULA 2*integral_{0..infinity} 1 - e^(Ei(-x)/2)*(1 - Ei(-x)/2) dx, where Ei is the exponential integral. EXAMPLE 0.17090961985966239214460728413311738704719072962628832355853881... MATHEMATICA digits = 95; Ei = ExpIntegralEi; 2*NIntegrate[1 - E^(Ei[-x]/2)*(1 - Ei[-x]/2), {x, 0, 200}, WorkingPrecision -> digits + 5] // RealDigits[#, 10, digits]& // First CROSSREFS Cf. A084945, A143297, A261873. Sequence in context: A320377 A213186 A296482 * A308157 A198555 A234355 Adjacent sequences:  A272426 A272427 A272428 * A272430 A272431 A272432 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Apr 29 2016 STATUS approved

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Last modified September 26 22:43 EDT 2021. Contains 347672 sequences. (Running on oeis4.)