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%I #5 Mar 30 2012 18:57:54
%S 2,4,2,6,6,1,0,9,0,1,4,0,2,2,1,3,1,2,6,3,0,2,6,4,8,3,4,9,7,4,7,3,8,4,
%T 2,1,3,1,7,8,2,5,8,1,5,0,5,0,8,6,2,5,8,9,0,5,7,5,0,7,5,2,3,6,5,1,2,7,
%U 3,8,7,3,9,0,2,9,0,7,0,3,7,9,5,4,9,6,6,9,4,5,3,7,2,1,9,3,4,1,4
%N Decimal expansion of x>0 having 4*x^2+2x=3*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.24266109014022131263026483497473842...
%t a = 4; b = 2; c = 3;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.2, .4}]
%t r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198540 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 26 2011