|
|
A236229
|
|
Larger of the two real zeros of x - exp(x/(x-1)).
|
|
3
|
|
|
3, 8, 5, 7, 3, 3, 4, 8, 2, 5, 9, 4, 9, 3, 7, 8, 5, 7, 9, 5, 5, 2, 7, 9, 3, 1, 0, 5, 0, 3, 3, 0, 4, 2, 5, 4, 1, 5, 8, 9, 1, 9, 6, 1, 1, 2, 1, 7, 4, 6, 7, 6, 2, 4, 4, 1, 6, 8, 0, 1, 5, 5, 3, 7, 9, 9, 4, 4, 0, 5, 0, 0, 8, 8, 9, 8, 2, 4, 3, 0, 5, 7, 9, 4, 1, 4, 5, 4, 7, 7, 1, 6, 3, 3, 8, 1, 7, 3, 6, 5, 0, 8, 7, 7, 5
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
The other root (lower value) is given by A236230.
This root can be found by simple recursion on x = exp(x/(x-1)).
The inverse of this number, 0.2592463566483, is the lower value of the two roots of: x - exp(1/(x-1)). This same property, with different values, applies using any base >= 1 for exponentiation, not just for e.
|
|
LINKS
|
|
|
EXAMPLE
|
3.85733482594937857...
|
|
MATHEMATICA
|
RealDigits[FindRoot[x - E^(x/(x - 1)), {x, 1.1}, WorkingPrecision -> 105][[1, 2]]][[1]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|