A201295 - OEIS

%I #9 Apr 11 2021 01:27:26

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

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

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

%N Decimal expansion of x satisfying x^2 - 1 = cot(x) and 0 < x < Pi.

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

%e x=1.185544350221532927784078986074178027599...

%t a = 1; c = -1;

%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, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A201295 *)

%Y Cf. A201280.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 29 2011