%I #5 Mar 30 2012 18:57:56

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=4.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.243937285397236552731015877520572201545888...

%t a = 3; b = -2; c = 4;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198931 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 31 2011