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%I #10 Nov 07 2012 08:58:43
%S 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,
%T 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,
%U 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
%N Decimal expansion of the definite integral of y=x^(1/x) for x=0 to e, the only maximum of this graph.
%H J. Sondow and D. Marques, <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_37_from151to164.pdf">Algebraic and transcendental solutions of some exponential equations</a>, Annales Mathematicae et Informaticae 37 (2010) 151-164; see Figure 5.
%e 2.6618257053804178284970393376513958302149708209833035482146784850914702106571...
%t RealDigits[ NIntegrate[ x^(1/x), {x, 0, E}, WorkingPrecision -> 105]][[1]] (* _Jean-François Alcover_, Nov 07 2012 *)
%Y Cf. A073229 (decimal expansion of e^(1/e)).
%K cons,nonn
%O 1,1
%A _Dylan Hamilton_, Nov 05 2010
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