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Decimal expansion of the number defined by x^x + x = 1.
0

%I #21 Apr 21 2016 10:59:56

%S 3,0,3,6,5,9,1,2,7,0,2,9,9,6,6,0,5,1,2,4,5,0,1,8,9,5,1,2,1,3,2,2,2,6,

%T 5,9,9,9,1,1,9,9,6,1,8,7,6,1,1,7,2,7,0,9,6,4,4,1,7,0,3,3,4,5,6,0,6,6,

%U 1,7,6,6,6,2,0,1,3,7,7,8,4,7,8,2,3,6,6,2,0,6,2,9,3,4,8,1,6,5,4,1,8,2,0,3,3

%N Decimal expansion of the number defined by x^x + x = 1.

%F Equals 1/(A085846+1). - _Bruno Berselli_, Jun 14 2013

%e 0.30365912702996605124501895121322265999119961876117270964417033...

%t RealDigits[x/.FindRoot[x^x + x == 1, {x, 3.5}, WorkingPrecision -> 110]][[1]]

%o (PARI) solve(x=.3,1,x^x+x-1) \\ _Charles R Greathouse IV_, Apr 21 2016

%Y Cf. A085846.

%K nonn,cons

%O 0,1

%A _José María Grau Ribas_, Jun 11 2013