A333186 a(n) = floor(2^n csc(1/n)).

2, 8, 24, 64, 161, 385, 899, 2053, 4617, 10257, 22559, 49208, 106601, 229571, 491884, 1049258, 2229509, 4721020, 9966072, 20980260, 44056840, 92306470, 192998784, 402769716, 839084537, 1745260723, 3624707293, 7517790835, 15572342341, 32218220725, 66583540100

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..3306

Formula

a(n) = floor(2^n csc(1/n)).

Maple

seq(floor(2^n*csc(1/n)), n=1..100); # Robert Israel, Apr 05 2020

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. A333187, A333188, A333189.

Sequence in context: A097064 A352206 A294458 * A229136 A261452 A225524

Adjacent sequences: A333183 A333184 A333185 * A333187 A333188 A333189

Keyword

nonn,easy

Author

Clark Kimberling, Mar 11 2020

Status

approved