A175994 Decimal expansion of the definite integral of y=x^(1/x) for x=0 to e, the only maximum of this graph.

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

Offset

1,1

Links

Table of n, a(n) for n=1..100.

J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164; see Figure 5.

Example

2.6618257053804178284970393376513958302149708209833035482146784850914702106571...

Mathematica

RealDigits[ NIntegrate[ x^(1/x), {x, 0, E}, WorkingPrecision -> 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

Crossrefs

Cf. A073229 (decimal expansion of e^(1/e)).

Sequence in context: A200485 A201318 A242001 * A340212 A283613 A141327

Adjacent sequences: A175991 A175992 A175993 * A175995 A175996 A175997

Keyword

cons,nonn

Author

Dylan Hamilton, Nov 05 2010

Status

approved