%I #13 Feb 07 2025 16:44:07
%S 1,4,7,9,7,0,5,2,0,2,2,4,4,3,5,8,0,5,9,6,7,5,1,2,3,9,9,3,9,5,2,3,3,1,
%T 8,5,2,9,5,9,7,1,4,2,1,5,4,9,5,0,2,7,0,7,2,5,0,2,7,0,3,7,3,0,9,6,1,2,
%U 0,6,4,7,5,6,5,6,3,2,5,7,0,7,7,0,5,0,5,6,4,2,1,6,8,9,1,4,3,1,7
%N Decimal expansion of least x>0 satisfying 5*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 1.47970520224435805967512399395233185295971...
%t a = 5; c = 0;
%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] (* A200618 *)
%Y Cf. A200338.
%K nonn,cons,changed
%O 1,2
%A _Clark Kimberling_, Nov 20 2011