A175998 Decimal expansion of (e-1)*(e^(1/e)-1) - Integral_{x=1..e} (x^(1/x)-1).

1, 7, 4, 0, 1, 7, 6, 2, 9, 0, 5, 2, 8, 8, 3, 0, 0, 3, 2, 3, 8, 4, 1, 1, 4, 4, 6, 2, 2, 6, 1, 6, 9, 0, 6, 1, 5, 3, 2, 7, 3, 0, 5, 3, 8, 9, 3, 0, 0, 6, 3, 4, 8, 1, 6, 8, 9, 1, 0, 5, 2, 6, 0, 2, 5, 4, 0, 3, 1, 1, 9, 0, 7, 9, 4, 2, 1, 0, 8, 6, 4, 6, 4, 3, 4, 5, 9, 4, 2, 6, 3, 0, 4, 5, 2, 9, 7, 2, 5, 0

Offset

0,2

Comments

Area contained by y = x^(1/x), x = e, and y = 1.

Links

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

Formula

Equals A175996 - A175997.

Example

0.17401762905288300323841144622616906153273053893006...

Mathematica

RealDigits[(E - 1)*(E^(1/E) - 1) - NIntegrate[x^(1/x) - 1, {x, 1, E}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Mar 26 2026 *)

Prog

(PARI) my(e=exp(1)); (e-1)*(e^(1/e)-1)-intnum(x=1, e, x^(1/x)-1)  \\ M. F. Hasler, Nov 27 2012

Crossrefs

Cf. A073229, A175996, A175997.

Sequence in context: A110792 A221388 A303982 * A396661 A388689 A329091

Adjacent sequences: A175995 A175996 A175997 * A175999 A176000 A176001

Keyword

cons,nonn

Author

Dylan Hamilton, Nov 05 2010

Status

approved