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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.
1
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
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.
EXAMPLE
0.37754066879814543536109943425449152124672063469108983694...
MATHEMATICA
RealDigits[1/(1 + Sqrt[E]), 10, 101] // First
PROG
(PARI) 1/(1+sqrt(exp(1))) \\ Michel Marcus, Sep 05 2014
CROSSREFS
Sequence in context: A021730 A153844 A197476 * A019634 A123879 A193016
KEYWORD
nonn,cons
AUTHOR
STATUS
approved