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%I #6 Mar 30 2012 18:57:54
%S 1,7,7,5,6,9,0,6,2,0,3,6,4,4,8,1,1,3,9,3,2,4,8,0,1,8,5,2,3,3,7,8,6,0,
%T 9,6,0,2,7,5,1,1,5,6,4,1,9,4,2,4,1,6,1,8,8,0,4,7,9,7,5,9,8,3,2,1,3,4,
%U 0,5,4,8,4,4,9,6,4,3,2,6,2,0,1,9,5,4,6,6,8,8,0,6,4,0,7,4,9,8,4
%N Decimal expansion of x>0 satisfying 2*x^2-3x=sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.775690620364481139324801852337860960275115...
%t a = 2; 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, 2}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.77, 1.78}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198566 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 27 2011
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