%I #5 Mar 30 2012 18:57:56
%S 6,7,0,8,0,9,5,0,1,1,9,2,0,7,4,3,9,7,2,6,1,1,5,6,3,7,8,3,9,2,4,7,4,2,
%T 2,6,0,1,5,6,7,0,7,0,9,9,2,3,1,1,4,7,2,2,8,9,5,4,0,4,7,7,1,7,3,0,2,1,
%U 0,1,9,9,4,4,4,0,3,2,3,8,9,5,7,8,1,1,3,7,6,7,8,7,6,8,5,9,5,0,9
%N Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=-1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.670809501192074397261156378392474226015...
%t a = 3; b = -3; c = -1;
%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, .6, .7}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198932 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 31 2011
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