%I #8 Feb 07 2025 16:44:05
%S 1,6,5,6,3,7,4,8,5,7,4,5,0,9,3,8,9,1,4,1,8,7,3,4,9,9,4,0,4,1,7,6,7,1,
%T 1,0,2,0,0,7,4,3,6,9,4,1,0,0,2,2,9,4,1,2,5,9,8,8,8,3,5,4,5,2,2,6,0,6,
%U 9,9,0,5,8,3,6,3,5,1,5,8,3,9,5,4,5,1,8,5,9,0,0,6,2,0,6,7,0,2,6
%N Decimal expansion of x>0 satisfying x^2-3*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e 1.65637485745093891418734994041767110200743694100...
%t a = 1; b = -3; c = 3;
%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, 1.65, 1.66}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198829 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 30 2011