%I #5 Mar 30 2012 18:57:54
%S 2,1,5,7,7,0,1,7,7,1,4,4,1,4,3,8,6,1,1,4,3,7,6,7,8,7,1,1,9,7,1,7,3,1,
%T 5,7,0,5,5,1,4,9,1,5,2,3,0,5,8,2,4,4,5,3,4,0,0,6,8,6,0,4,9,8,3,9,0,7,
%U 3,3,8,1,3,2,2,6,4,6,0,5,7,5,2,0,8,3,9,3,1,9,3,6,7,7,5,1,5,5,3
%N Decimal expansion of x>0 having x^2-x=3*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.157701771441438611437678711971731570551...
%t a = 1; b = -1; c = 3;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 2.5}]
%t r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198422 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 24 2011