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%I #6 Mar 30 2012 18:57:54
%S 1,4,5,5,0,9,6,5,9,1,5,6,2,8,6,6,1,5,2,4,5,9,5,4,0,8,8,7,6,0,4,6,0,6,
%T 3,5,6,6,8,1,0,9,2,2,3,1,1,2,5,7,5,3,9,2,0,4,2,1,6,0,6,5,6,9,1,3,1,4,
%U 2,8,0,5,1,4,7,3,6,1,5,0,9,9,5,9,6,8,2,2,5,5,7,5,3,8,4,9,1,4,5
%N Decimal expansion of x>0 satisfying 3*x^2-3x=2*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.455096591562866152459540887604606356681...
%t a = 3; b = -3; c = 2;
%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, 1.45, 1.46}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198571 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 27 2011
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