%I #8 Feb 07 2025 16:44:05
%S 8,3,2,2,9,6,4,6,2,4,2,0,4,5,4,8,1,5,8,3,2,6,8,9,6,3,9,1,5,4,8,3,8,2,
%T 7,3,9,2,3,2,7,3,3,4,7,5,9,0,9,2,0,9,5,3,8,4,6,3,3,1,8,2,9,9,0,7,2,2,
%U 1,4,3,1,4,2,2,9,9,5,9,5,8,8,0,4,2,3,4,0,0,9,8,4,3,7,6,4,4,3,4
%N Decimal expansion of x>0 satisfying x^2-4*cos(x)=-2.
%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 0.832296462420454815832689639154838273923273...
%t a = 1; b = -4; c = -2;
%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, .83, .84}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198843 *)
%Y Cf. A198755.
%K nonn,cons,changed
%O 0,1
%A _Clark Kimberling_, Oct 30 2011