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%I #7 Jan 30 2025 13:45:40
%S 4,2,6,4,7,3,8,7,2,8,0,9,1,4,5,1,3,2,9,9,5,2,9,9,1,3,5,6,3,2,8,0,1,9,
%T 1,2,1,2,8,7,1,0,3,7,7,5,9,4,7,2,9,3,3,3,9,4,8,1,0,1,8,9,3,3,6,8,1,6,
%U 0,9,1,2,5,9,4,2,7,5,8,3,3,5,2,1,5,8,5,5,7,5,4,1,2,6,6,0,6,3,5
%N Decimal expansion of least x>0 satisfying 1-3*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 0.426473872809145132995299135632801912128710...
%t a = -3; 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, .4, .5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200697 *)
%Y Cf. A200338.
%K nonn,cons,changed
%O 0,1
%A _Clark Kimberling_, Nov 21 2011