A201283 - OEIS

%I #8 Apr 10 2021 22:31:52

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

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

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

%N Decimal expansion of x satisfying x^2 + 4 = cot(x) and 0 < x < Pi.

%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.241591857436453645370507584357801597199290...

%t a = 1; c = 4;

%t f[x_] := a*x^2 + c; g[x_] := Cot[x]

%t Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A201283 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 29 2011