A098687 Decimal expansion of Integral_{x=0..infinity} x/(x^x) dx.

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

Offset: 1

Author

Joseph Biberstine (jrbibers(AT)indiana.edu), Oct 27 2004

Keywords

• cons
• nonn

Comments

Decimal expansion of G(b)-G(a), where b->infinity, a->0+ and G(x) is the antiderivative of x/(x^x).

Examples

			1.75182888431384178041332763764167634812241216129452636074107045149...
		

Programs

Maple

int(x/(x^x),x=0..infinity);

Mathematica

$MaxPrecision = 10^7; RealDigits[ NIntegrate[x/x^x, {x, 0, Infinity}, WorkingPrecision -> 256, PrecisionGoal -> 128, MaxRecursion -> 16], 10, 111][[1]] (* Robert G. Wilson v, Nov 02 2004 *)
RealDigits[N[Integrate[x/x^x,{x,0,\[Infinity]}],120]][[1]] (* Harvey P. Dale, Dec 20 2012 *)

Extensions

More terms from Robert G. Wilson v, Nov 03 2004