A333189 a(n) = [2^n csc(1/n)] - [2^n cot(1/n)] - [2^n (csc(1/n) - cot(1/n))], where [ ] = floor.

0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0

Offset

1

Links

Table of n, a(n) for n=1..86.

Formula

a(n) = [2^n csc(1/n)] - [2^n cot(1/n)] - [2^n (csc(1/n) - cot(1/n))], where [ ] = floor.

Mathematica

z = 50; u = Table[Floor[2^n Csc[1/n]], {n, 1, z}] (* A333186 *)
v = Table[Floor[2^n Cot[1/n]], {n, 1, z}] (* A333187 *)
u - v  (* A333188 *)
w = Table[Floor[2^n Csc[1/n] - 2^n Cot[1/n]], {n, 1, z}];
u - v - w (* A333189 *)

Crossrefs

Cf. A333186, A333187, A333188, A332479.

Sequence in context: A144193 A171387 A355450 * A011662 A011665 A347411

Adjacent sequences: A333186 A333187 A333188 * A333190 A333191 A333192

Keyword

nonn,easy

Author

Clark Kimberling, Mar 11 2020

Status

approved