A246848 - OEIS

A246848

Decimal expansion of 1/(1+sqrt(e)), a constant appearing in the computation of a limiting probability concerning the number of cycles of a given length in a random permutation.

3, 7, 7, 5, 4, 0, 6, 6, 8, 7, 9, 8, 1, 4, 5, 4, 3, 5, 3, 6, 1, 0, 9, 9, 4, 3, 4, 2, 5, 4, 4, 9, 1, 5, 2, 1, 2, 4, 6, 7, 2, 0, 6, 3, 4, 6, 9, 1, 0, 8, 9, 8, 3, 6, 9, 4, 0, 5, 6, 2, 8, 3, 7, 3, 4, 1, 4, 5, 5, 0, 0, 4, 3, 5, 9, 9, 7, 5, 3, 2, 0, 4, 9, 7, 4, 1, 6, 3, 0, 5, 2, 7, 5, 2, 5, 7, 6, 2, 6, 9, 3

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OFFSET

0,1

COMMENTS

1/(1+sqrt(e)) is the value of x that maximizes the expression Pi^2/6 - log(x) - log(x)^2 - 2*Li_2(x), where Li_2 is the dilogarithm function.

LINKS

Table of n, a(n) for n=0..100.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 29.

Michael Lugo, The number of cycles of specified normalized length in permutations, arXiv:0909.2909 [math.CO]

EXAMPLE

0.37754066879814543536109943425449152124672063469108983694...

MATHEMATICA