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A358191
Decimal expansion of Sum_{n >= 2} (n-1)/(n^n).
2
3, 3, 7, 1, 8, 7, 7, 1, 5, 8, 3, 8, 9, 2, 0, 9, 0, 6, 6, 4, 8, 6, 0, 6, 5, 5, 2, 6, 6, 6, 2, 8, 2, 4, 9, 0, 1, 5, 1, 9, 2, 0, 9, 4, 2, 6, 8, 0, 0, 9, 9, 0, 9, 9, 1, 6, 4, 1, 3, 3, 9, 8, 4, 9, 5, 5, 4, 4, 1, 4, 3, 1, 7, 5, 2, 8, 8, 5, 3, 4, 9, 3, 0, 5, 5, 0, 9, 3, 9, 9, 1, 8, 3, 5, 3, 2, 3, 4, 4, 4
OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Sophomore's Dream.
FORMULA
Equals Integral_{x = 0..1} x*log(x)^2/x^x dx.
Equals -Integral_{x = 0..1} x*log(x)/x^x dx.
Equals Integral_{x = 0..1} Integral_{y = 0..1} (x*y)^(1 - x*y) dy dx.
Equals A098686 - A073009.
EXAMPLE
0.337187715838920906648606552666282490151920942680099...
MAPLE
evalf(add((n-1)/n^n, n = 2..65), 100);
PROG
(PARI) suminf(n=2, (n-1)/n^n) \\ Michel Marcus, Nov 03 2022
CROSSREFS
Sequence in context: A240504 A338775 A359407 * A235162 A059527 A215235
KEYWORD
cons,nonn
AUTHOR
Peter Bala, Nov 02 2022
STATUS
approved