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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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6, p. 303.

LINKS

Table of n, a(n) for n=0..99.

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: A246844 A246845 A214369 * A189090 A075549 A196617

Adjacent sequences:  A242766 A242767 A242768 * A242770 A242771 A242772

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, May 22 2014

STATUS

approved

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Last modified August 13 00:27 EDT 2020. Contains 336441 sequences. (Running on oeis4.)