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A272429
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Asymptotic mean (normalized by n) of the second largest connected component in a random mapping on n symbols.
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1
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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
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OFFSET
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0,2
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.4.2 Random mapping statistics, p. 290.
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LINKS
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FORMULA
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2*integral_{0..infinity} 1 - e^(Ei(-x)/2)*(1 - Ei(-x)/2) dx, where Ei is the exponential integral.
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EXAMPLE
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0.17090961985966239214460728413311738704719072962628832355853881...
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MATHEMATICA
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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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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