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%I #7 Jan 16 2022 00:49:53
%S 1,2,0,1,5,3,8,2,9,9,3,4,0,5,7,5,1,1,1,4,8,1,5,0,8,1,6,6,5,6,8,8,5,0,
%T 4,9,1,0,6,0,8,3,5,8,1,1,0,1,8,6,0,2,7,0,4,3,2,1,1,2,0,6,0,5,6,8,0,8,
%U 5,8,4,4,0,2,1,6,9,4,5,2,2,5,8,8,4,9,1,3,7,1,2,0,5,2,8,4,3,1,6
%N Decimal expansion of x>0 having x^2 = 4*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e x = 1.201538299340575111481508166568850491060835...
%t a = 1; b = 0; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -1.5, 1.5}]
%t r1 = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t RealDigits[r1] (* A197808 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 20 2011
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