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

1,2

Comments

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

Links

Table of n, a(n) for n=1..105.

Example

1.75182888431384178041332763764167634812241216129452636074107045149...

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 *)

Crossrefs

Sequence in context: A021575 A334632 A154870 * A021137 A330156 A323811

Adjacent sequences: A098684 A098685 A098686 * A098688 A098689 A098690

Keyword

cons,nonn

Author

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

Extensions

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

Status

approved