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%I #6 Mar 30 2012 18:57:54
%S 4,6,4,4,3,5,6,5,7,2,3,9,4,6,6,7,6,0,6,1,6,1,4,6,8,6,6,1,1,4,3,5,3,8,
%T 7,0,6,3,1,5,4,2,8,2,3,0,9,0,5,3,3,8,4,5,3,2,9,7,7,5,5,0,4,8,7,3,8,4,
%U 4,0,4,4,1,3,2,6,4,4,5,1,3,6,3,4,6,0,3,3,1,3,5,0,0,6,3,8,3,9,9
%N Decimal expansion of x>0 having 2x^2+x=2*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.4644356572394667606161468661143538706315...
%t a = 2; b = 1; c = 2;
%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, .46, .47}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198493 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 25 2011
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