%I #7 Aug 09 2021 08:10:47
%S 1,4,9,6,5,1,3,6,4,8,2,6,7,2,5,4,1,7,0,8,4,0,7,6,6,7,6,9,1,9,8,0,8,8,
%T 3,7,0,7,2,1,2,0,8,4,9,0,1,4,3,4,3,6,3,3,8,7,5,9,3,5,1,5,0,0,4,0,0,3,
%U 5,0,5,4,0,0,8,3,0,0,9,3,9,3,2,2,6,0,7,5,9,7,9,9,4,1,5,6,0,3,8
%N Decimal expansion of least x>0 satisfying 6*x^2=tan(x).
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.4965136482672541708407667691980883707212084901...
%t a = 6; 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, 1.5, 1.51}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200632 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 20 2011
|