A200341 - OEIS

%I #8 Aug 09 2021 07:56:56

%S 1,4,0,4,9,3,7,8,9,6,3,7,8,1,7,5,7,8,8,8,2,3,5,2,2,7,4,9,3,2,8,0,0,5,

%T 3,1,7,4,3,4,4,8,8,0,0,9,1,6,4,0,2,9,4,5,7,1,5,9,2,0,3,6,7,4,6,3,7,8,

%U 8,9,6,0,2,5,8,0,3,2,5,2,6,0,8,9,8,9,0,4,2,6,0,4,6,9,4,4,8,1,7,8,9

%N Decimal expansion of least x>0 satisfying x^2+4=tan(x).

%C See A200338 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.4049378963781757888235227493280053174...

%t a = 1; b = 0; c = 4;

%t f[x_] := a*x^2 + b*x + 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, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A200341 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 16 2011