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%I #5 Mar 30 2012 18:57:56
%S 1,3,7,4,6,7,5,3,4,3,9,3,4,6,8,1,8,9,9,6,3,0,1,5,6,6,5,7,3,2,3,7,5,8,
%T 5,8,9,1,5,5,0,5,4,3,6,6,9,3,5,9,5,8,9,7,6,7,6,9,1,5,6,7,5,5,3,0,0,8,
%U 7,2,4,4,1,6,2,5,1,9,5,0,2,1,1,8,2,2,1,4,1,0,3,3,4,2,1,6,8,5,6
%N Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.374675343934681899630156657323758589155...
%t a = 2; b = -4; 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, 1.37, 1.38}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198886 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 31 2011
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