%I #5 Mar 30 2012 18:57:56
%S 1,0,1,0,4,4,1,1,7,9,2,2,4,6,6,5,0,3,7,2,5,6,9,3,1,5,7,6,9,6,7,0,3,0,
%T 6,6,3,1,3,4,4,6,5,0,7,4,7,5,7,1,8,0,0,1,2,8,9,5,5,5,2,7,2,7,0,8,4,4,
%U 5,2,8,6,9,1,1,6,7,3,4,5,3,0,5,2,5,4,6,1,0,4,1,1,5,2,9,5,5,0,1
%N Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=2.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.0104411792246650372569315769670306631344650...
%t a = 3; b = -2; c = 2;
%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, 1, 1.1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198929 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,5
%A _Clark Kimberling_, Oct 31 2011
|