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%I #7 Aug 09 2021 07:48:47
%S 1,8,5,4,6,7,8,2,4,7,9,1,4,9,3,1,4,9,4,7,5,6,7,5,5,1,3,2,0,3,3,0,6,5,
%T 0,6,8,2,6,1,4,0,1,6,8,8,4,7,6,3,2,9,7,9,4,4,8,7,0,5,4,2,3,2,5,7,4,2,
%U 4,2,6,6,4,7,3,3,8,3,6,1,7,3,9,5,5,7,3,7,2,3,9,3,4,9,5,8,2,6,4
%N Decimal expansion of x>0 satisfying x^2-2*cos(x)=4.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.854678247914931494756755132033065068261401688...
%t a = 1; b = -2; c = 4;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198824 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 30 2011
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