|
|
A175999
|
|
Decimal expansion of the definite integral of x^(1/x) for x = 0 to 1.
|
|
3
|
|
|
3, 5, 3, 4, 9, 6, 8, 0, 0, 7, 0, 1, 4, 2, 2, 0, 5, 5, 4, 6, 5, 8, 3, 6, 3, 7, 0, 2, 0, 6, 6, 9, 8, 2, 4, 5, 0, 9, 0, 2, 5, 6, 8, 0, 0, 8, 0, 8, 7, 7, 3, 9, 9, 3, 8, 0, 7, 8, 0, 7, 9, 2, 4, 6, 0, 7, 8, 0, 0, 1, 8, 4, 5, 9, 7, 0, 0, 2, 5, 3, 3, 9, 0, 4, 0, 4, 0, 2, 9, 0, 6, 4, 2, 7, 6, 5, 0, 9, 1, 9, 5, 2, 3, 2, 6
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
EXAMPLE
|
0.3534968007014220554658363702066982450902568008087739938078079246078001845970...
|
|
MATHEMATICA
|
RealDigits[ NIntegrate[x^(1/x), {x, 0, 1}, WorkingPrecision -> 128], 10, 111][[1]] (* Robert G. Wilson v, Mar 10 2013 *)
|
|
PROG
|
(PARI) intnum(x=exp(-lambertw(default(realbitprecision)*log(2)+2)), 1, x^x^-1) \\ Charles R Greathouse IV, Feb 23 2022
|
|
CROSSREFS
|
Cf. A073229 (decimal expansion of e^(1/e)).
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|