%I #6 Mar 30 2012 18:57:54

%S 1,2,5,2,7,3,8,2,1,9,7,7,6,4,1,5,0,9,2,9,2,2,1,8,1,0,2,8,4,8,1,8,6,9,

%T 9,4,2,4,0,1,9,2,1,0,1,4,5,7,7,4,9,3,0,6,7,8,2,5,5,4,7,2,3,3,6,9,3,6,

%U 2,2,7,3,9,8,5,3,8,2,3,7,1,2,1,0,1,8,1,8,0,2,9,4,0,9,2,0,2,8,3

%N Decimal expansion of x>0 satisfying 3*x^2-3x=sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.25273821977641509292218102848186994240192...

%t a = 3; b = -3; c = 1;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -.2, 1.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198570 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 27 2011