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%I #6 Mar 30 2012 18:57:54
%S 4,4,9,9,0,5,8,6,5,9,7,0,4,6,5,3,8,8,5,5,4,4,2,8,7,6,4,9,2,6,2,1,7,8,
%T 7,2,2,8,8,9,0,1,8,3,2,5,7,6,1,0,0,7,1,0,1,8,3,8,8,4,0,0,8,6,8,0,4,6,
%U 4,9,5,8,6,2,3,1,9,0,3,9,7,7,1,0,2,6,1,9,2,3,4,3,6,9,6,5,8,3,2
%N Decimal expansion of x>0 having 2x^2+2x=sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.449905865970465388554428764926217872288...
%t a = 2; b = 2; c = 3;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198497 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 25 2011
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