A201318 - OEIS

%I #10 Jan 30 2025 15:55:02

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

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

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

%N Decimal expansion of x satisfying x^2 - 9 = cot(x) and 0 < x < Pi.

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e 2.6611034385845731355174244500600...

%t a = 1; c = -9;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, 2.6, 2.7}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A201318 *)

%Y Cf. A201280.

%K nonn,cons,changed

%O 1,1

%A _Clark Kimberling_, Nov 30 2011