A201282 - OEIS

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

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

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

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

%N Decimal expansion of x satisfying x^2 + 3 = cot(x) and 0 < x < Pi.

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

%e x=0.3122763607541111358068570021305834266...

%t a = 1; c = 3;

%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, .31, .32}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A201282 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 29 2011