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

Author

Dylan Hamilton, Nov 05 2010

Keywords

• cons
• nonn

Examples

			2.6618257053804178284970393376513958302149708209833035482146784850914702106571...
		

Links

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

Crossrefs

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

Programs

Mathematica

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