A201326 - OEIS

%I #8 Apr 10 2021 20:57:23

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

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

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

%N Decimal expansion of x satisfying 8*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=0.56688654795894909137213379004641453...

%t a = 8; 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, .5, .6}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A201326 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 30 2011