%I
%S 8,7,2,8,0,4,1,7,8,2,0,3,9,0,8,2,7,1,7,4,8,5,4,3,3,8,9,3,2,0,5,1,4,8,
%T 9,2,1,9,5,2,4,4,8,5,3,4,1,4,2,0,7,4,5,6,5,0,7,9,0,9,4,4,8,8,9,6,8,3,
%U 7,1,8,9,4,9,3,9,0,6,6,3,0,8,2,2,0,8,0,7,0,6,2,7,8,3,1,3,1,2,2
%N Decimal expansion of x>0 satisfying 3*x^22*cos(x)=1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.872804178203908271748543389320514892195244...
%t a = 3; b = 2; c = 1;
%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, .87, .88}, WorkingPrecision > 110]
%t RealDigits[r] (* A198928 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 31 2011
