A358191 Decimal expansion of Sum_{n >= 2} (n-1)/(n^n).

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

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

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

Cf. A073009, A098686.

Sequence in context: A240504 A338775 A359407 * A235162 A059527 A215235

Adjacent sequences: A358188 A358189 A358190 * A358192 A358193 A358194

Keyword

cons,nonn

Author

Peter Bala, Nov 02 2022

Status

approved