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%I #5 Mar 30 2012 18:58:01
%S 1,5,0,2,1,2,0,1,4,3,8,3,3,5,6,9,4,1,6,1,1,2,7,7,2,8,4,6,0,5,8,0,3,1,
%T 5,1,0,3,5,5,8,3,4,9,0,3,9,4,0,5,9,0,0,9,6,5,9,2,3,7,4,1,9,4,7,1,7,7,
%U 4,0,5,6,5,6,1,1,8,3,9,8,4,1,0,4,2,9,0,9,5,9,8,2,2,7,5,1,2,7,0
%N Decimal expansion of least x>0 satisfying 6*x^2+1=tan(x).
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.502120143833569416112772846058031510355...
%t a = 6; c = -1;
%t f[x_] := a*x^2 - 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, 1.5, 1.6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200637 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 20 2011
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