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%I #5 Mar 30 2012 18:57:56
%S 7,8,2,4,5,9,2,4,5,5,5,0,8,7,9,2,6,8,1,0,9,7,7,1,9,5,1,8,5,3,5,3,5,5,
%T 0,2,6,1,2,0,3,7,2,3,0,1,5,1,9,8,4,4,3,3,3,4,0,4,7,0,2,6,7,3,4,0,5,3,
%U 9,2,2,4,0,9,2,1,5,3,6,8,4,5,8,6,8,6,5,7,9,7,8,8,5,8,3,3,2,1,1
%N Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=-1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.782459245550879268109771951853535502612037...
%t a = 3; b = -4; 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, .78, .79}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198938 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 01 2011
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