A175997 Decimal expansion of the definite integral of y=x^(1/x)-1 for x=1 to e, the only maximum of this graph.
5, 9, 0, 0, 4, 7, 0, 7, 6, 2, 1, 9, 9, 5, 0, 5, 3, 7, 6, 7, 0, 9, 1, 5, 4, 9, 6, 0, 9, 2, 0, 3, 5, 0, 8, 7, 3, 6, 7, 4, 6, 6, 9, 2, 6, 4, 7, 4, 5, 6, 9, 9, 7, 9, 4, 3, 9, 9, 0, 2, 9, 3, 2, 7, 5, 9, 5, 9, 3, 3, 9, 5, 7, 0, 6, 6, 2, 5, 0, 3, 7, 7, 7, 1, 4, 0
Offset: 0
Examples
0.5900470762199505376709154960920350873674669264745699794399029327595933957066...
Crossrefs
Cf. A073229 (decimal expansion of e^(1/e)).
Programs
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Mathematica
RealDigits[NIntegrate[x^(1/x)-1,{x,1,E},WorkingPrecision->250]][[1]] (* Harvey P. Dale, Mar 05 2016 *)
Extensions
Corrected by Harvey P. Dale, Mar 05 2016