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%I #5 Mar 30 2012 18:57:56
%S 1,3,2,1,5,9,9,6,2,0,8,7,6,7,1,8,2,2,2,1,3,7,7,3,3,4,9,2,8,1,7,5,0,4,
%T 2,4,4,9,9,2,5,6,1,5,3,4,7,3,1,2,1,4,4,0,6,8,0,4,7,9,1,0,5,5,2,3,4,6,
%U 0,7,0,3,9,7,2,0,7,7,9,1,8,2,0,7,8,2,1,2,0,8,0,8,3,0,6,4,9,4,4
%N Decimal expansion of x>0 satisfying 2*x^2-2*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.321599620876718222137733492817504244992561534...
%t a = 2; b = -2; c = 3;
%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, 1.3, 1.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198876 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 31 2011
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