|
|
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
|
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|