%I
%S 1,1,7,6,5,0,1,9,3,9,9,0,1,8,3,2,4,0,0,4,4,7,3,7,7,2,6,8,7,3,1,0,4,0,
%T 9,8,6,6,2,3,7,1,2,3,5,8,9,8,1,2,9,2,4,1,4,4,2,8,6,6,0,1,8,4,9,8,5,8,
%U 6,6,3,7,4,4,1,5,1,3,5,9,0,7,3,4,3,3,0,0,4,7,1,5,7,1,5,9,2,7,1
%N Decimal expansion of x>0 satisfying x^2cos(x)=1.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.17650193990183240044737726873104098662371235...
%t a = 1; b = 1; c = 1;
%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, 1.1, 1.2}, WorkingPrecision > 110]
%t RealDigits[r] (* A198816 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Oct 30 2011
