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%I #7 Jan 30 2025 13:44:42
%S 3,3,0,8,0,1,8,0,6,1,0,5,5,8,6,9,9,1,4,3,4,0,8,7,8,0,3,1,0,8,9,9,0,9,
%T 3,5,7,4,3,3,6,3,3,8,1,6,8,1,9,8,0,7,0,4,0,2,4,4,2,3,2,0,8,5,2,7,1,6,
%U 4,1,4,2,9,8,2,0,7,8,0,6,5,2,9,5,2,8,4,6,4,8,5,6,4,6,0,5,7,1,6
%N Decimal expansion of least x>0 satisfying 1-6*x^2=tan(x).
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e 0.33080180610558699143408780310899093574336338...
%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, .3, .4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200701 *)
%Y Cf. A200338.
%K nonn,cons,changed
%O 0,1
%A _Clark Kimberling_, Nov 21 2011