A201337 - OEIS

%I #8 Apr 10 2021 20:54:43

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

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

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

%N Decimal expansion of x satisfying 10*x^2 = cot(x) and 0 < x < Pi.

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

%e x=0.45316165677242458768906060176742706782043759...

%t a = 10; c = 0;

%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, .4, .5}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A201337 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 30 2011