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%I #5 Mar 30 2012 18:58:01
%S 1,4,8,8,1,5,5,7,7,9,6,4,7,9,2,1,7,1,7,9,5,9,5,7,4,1,1,8,6,2,8,2,0,9,
%T 8,6,9,0,4,1,7,5,4,3,2,8,2,8,2,0,5,8,8,7,8,0,2,4,6,8,3,1,2,7,1,9,9,4,
%U 1,8,6,6,6,5,2,9,0,2,8,1,9,3,5,9,6,1,8,3,2,7,7,0,3,9,1,9,0,3,2
%N Decimal expansion of least x>0 satisfying 5*x^2+1=tan(x).
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.48815577964792171795957411862820986904175...
%t a = 5; 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, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200628 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 20 2011
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