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Decimal expansion of the solution to (1 + x)*x^(1 - x) = x^x.
2

%I #11 May 04 2018 02:42:17

%S 3,5,4,0,4,5,7,8,7,9,6,1,7,5,8,3,4,8,0,7,7,7,9,6,1,7,3,7,9,5,6,4,3,6,

%T 4,3,7,9,6,5,7,7,7,2,2,9,5,9,7,2,7,2,5,8,9,1,7,6,3,5,6,6,7,4,5,2,6,7,

%U 5,7,0,2,6,1,2,6,5,3,5,5,4,6,2,4,1,3,2,6,7,5,5,8,2,2,5,6,3,6

%N Decimal expansion of the solution to (1 + x)*x^(1 - x) = x^x.

%e 0.3540457879617583480777961737956436437965777229597272589...

%t RealDigits[x /. FindRoot[(1 + x)*x^(1 - x) == x^x, {x, 1/2}, WorkingPrecision -> 100]][[1]] (* _Vaclav Kotesovec_, Apr 29 2018 *)

%o (PARI) solve(x=1/3, 1, (1 + x)*x^(1 - x) - x^x) \\ _Michel Marcus_, Apr 18 2018

%Y Cf. A302973.

%K nonn,cons

%O 0,1

%A _Juri-Stepan Gerasimov_, Apr 17 2018

%E More terms from _Michel Marcus_, Apr 18 2018