A201284 - OEIS

%I #11 Jan 30 2025 15:47:23

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

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

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

%N Decimal expansion of x satisfying x^2 + 5 = 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 0.1959298992654626321811553538347740836029...

%t a = 1; c = 5;

%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, .2}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A201284 *)

%Y Cf. A201280.

%K nonn,cons,changed

%O 0,2

%A _Clark Kimberling_, Nov 29 2011