%I #5 Mar 30 2012 18:58:02

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

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

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

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

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

%e x=-0.7145563847430096816014491264343628875...

%t a = -1; b = 0; c = 1;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201750 *)

%Y Cf. A201741.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Dec 05 2011