%I #5 Mar 30 2012 18:58:01
%S 1,4,8,4,9,1,1,7,2,5,4,2,5,8,9,4,5,5,7,9,6,7,6,2,3,6,4,1,7,8,4,7,2,8,
%T 0,8,3,2,8,1,7,5,4,7,2,0,3,6,3,7,8,2,4,0,1,7,8,5,5,8,9,2,2,1,4,7,5,8,
%U 2,0,2,7,0,3,1,1,8,3,5,3,2,7,4,8,5,1,3,0,2,4,8,3,7,8,5,6,0,4,6
%N Decimal expansion of least x>0 satisfying 3*x^2+5=tan(x).
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.484911725425894557967623641784728083281754...
%t a = 3; c = -5;
%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, 1.48, 1.49}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200641 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 20 2011
|