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A242769
Decimal expansion of the positive solution to the equation x/(1-x) = 1+log(1/(1-x)), an auxiliary constant associated with the problem of enumeration of trees by inversions.
2
6, 8, 2, 1, 5, 5, 5, 6, 7, 1, 0, 0, 6, 2, 7, 3, 1, 6, 1, 6, 7, 1, 5, 5, 2, 6, 2, 3, 7, 9, 0, 5, 0, 8, 3, 3, 0, 0, 3, 8, 6, 8, 1, 0, 0, 0, 1, 6, 8, 8, 8, 5, 9, 9, 1, 0, 9, 0, 6, 5, 5, 1, 0, 1, 3, 4, 2, 2, 0, 8, 6, 2, 6, 5, 8, 2, 1, 7, 7, 1, 5, 9, 8, 1, 1, 4, 8, 8, 6, 8, 9, 0, 5, 4, 5, 3, 9, 9, 8, 1
OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6, p. 303.
LINKS
I. M. Gessel, B. E. Sagan, Y. N. Yeh, Enumeration of Trees By Inversions, 1999, p. 20.
EXAMPLE
0.6821555671006273161671552623790508330038681...
MATHEMATICA
mu = x /. FindRoot[x/(1-x) == 1+Log[1/(1-x)], {x, 1/2}, WorkingPrecision -> 105]; RealDigits[mu, 10, 100] // First
CROSSREFS
Cf. A038037.
Sequence in context: A246845 A374815 A214369 * A189090 A075549 A196617
KEYWORD
nonn,cons
AUTHOR
STATUS
approved