A332432 a(n) = [2^n/(1 - cos(1/n))] - [2^n/(-1 + cot(1/n))], where [ ] = floor.

10, 28, 141, 509, 1597, 4606, 12544, 32774, 82965, 204856, 495752, 1179957, 2769577, 6423997, 14748718, 33560981, 75773263, 169897572, 378594174, 838980348, 1849932688, 4060585522, 8876163946, 19329419393, 41947233974, 90739684034, 195706653907, 420941590665

Offset

1,1

Links

Table of n, a(n) for n=1..28.

Formula

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

a(n) = A332430(n) - A332432(n).

Mathematica

z = 50; u = Table[Floor[2^n/(1 - Cos[1/n])], {n, 1, z}]    (* A332430 *)
v = Table[Floor[2^n/(-1 + Cot[1/n])], {n, 1, z}]  (* A332431 *)
u - v   (* A332432 *)
w = Table[Floor[2^n/(1 - Cos[1/n]) - 2^n/(-1 + Cot[1/n])], {n, 1, z}]
u - v - w  (* A332479 *)

Crossrefs

Cf. A333186, A332430, A332431, A332433, A332479.

Sequence in context: A350990 A264579 A003665 * A219812 A345725 A185985

Adjacent sequences: A332429 A332430 A332431 * A332433 A332434 A332435

Keyword

nonn,easy

Author

Clark Kimberling, Apr 04 2020

Status

approved