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%I #5 Mar 30 2012 18:58:00
%S 1,4,9,6,6,1,6,7,4,7,9,9,1,5,7,4,2,6,8,6,6,0,2,8,1,5,2,6,8,6,1,3,9,0,
%T 7,0,3,2,0,0,3,2,3,5,1,8,6,6,2,3,6,8,9,0,0,0,8,0,9,1,4,4,1,1,6,3,8,0,
%U 4,3,8,2,0,1,4,0,1,1,3,3,5,9,2,7,2,8,0,0,2,2,2,3,3,5,2,4,6,9,2
%N Decimal expansion of least x>0 satisfying 4*x^2+x+3=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.4966167479915742686602815268613907032003235186...
%t a = 4; b = 1; c = 3;
%t f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200414 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 18 2011
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