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

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

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

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

%N Decimal expansion of the nonzero number x satisfying x^2+x+1=e^x.

%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.793282132900761007557553363901042400...

%t a = 1; b = 1; c = 1;

%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x

%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201770 *)

%Y Cf. A201741.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Dec 05 2011