A201744 - OEIS

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

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

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

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

%N Decimal expansion of the number x satisfying x^2+5=e^x.

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

%e x=2.35635348985715436242025923556814897886...

%t a = 1; b = 0; c = 5;

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

%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.3, 2.4}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A201744 *)

%Y Cf. A201741.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Dec 05 2011