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%I #5 Mar 30 2012 18:57:56
%S 7,9,6,1,6,7,2,6,3,0,8,3,4,1,6,0,4,4,9,9,6,7,0,6,2,1,3,3,3,2,0,5,7,0,
%T 1,3,8,1,2,9,7,9,7,9,3,2,6,4,2,0,0,9,3,5,1,5,6,3,6,4,4,5,2,9,7,4,3,1,
%U 1,7,2,2,3,6,9,0,7,6,4,0,1,5,3,9,9,3,5,9,6,2,4,3,0,4,8,0,8,3,0
%N Decimal expansion of x>0 satisfying 3*x^2+3*cos(x)=4.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.79616726308341604499670621333205701...
%t a = 3; b = 3; 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, .79, .8}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198921 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 31 2011
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