%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