A201942 - OEIS

%I #5 Mar 30 2012 18:58:03

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

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

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

%N Decimal expansion of the number x satisfying log(x)=e^(-x)

%C Also the solution of x=e^e^(-x).  The Mathematica program includes intersecting graphs of y=log(x) and y=e^(-x), as well as y=x, y=e^e^(-x).

%e x=1.30979958580415047766923370196817250...

%t Plot[{Log[x], E^-x, , x, E^E^-x}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[Log[x] == E^-x, {x, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A201942 *)

%Y Cf. A076903.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Dec 13 2011