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%I #5 Mar 30 2012 18:57:54
%S 6,7,5,6,3,6,8,7,1,4,5,7,3,4,1,3,7,5,7,8,9,6,6,0,2,1,4,1,1,9,9,9,6,1,
%T 1,7,2,9,3,5,9,9,1,6,9,5,3,8,1,6,5,8,9,0,3,9,9,9,5,4,4,6,6,0,4,1,9,9,
%U 7,8,3,5,3,8,6,5,0,5,0,7,4,6,7,2,6,3,8,2,7,1,8,9,6,6,7,5,3,6,9
%N Decimal expansion of x>0 having 4*x^2+x=4*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.675636871457341375789660214119996117293599...
%t a = 4; b = 1; c = 4;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.2, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .67, .68}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198507 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 25 2011
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