A293327 Greatest integer k such that k/2^n < sqrt(1/3).

0, 1, 2, 4, 9, 18, 36, 73, 147, 295, 591, 1182, 2364, 4729, 9459, 18918, 37837, 75674, 151348, 302697, 605395, 1210791, 2421582, 4843165, 9686330, 19372660, 38745320, 77490641, 154981282, 309962565, 619925131, 1239850262, 2479700524, 4959401049, 9918802098

Offset: 0

Author

Clark Kimberling, Oct 09 2017

Keywords

• nonn
• easy

Links

• Clark Kimberling, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A002194, A094386, A293328, A293329.

Programs

Mathematica

z = 120; r = Sqrt[1/3];
Table[Floor[r*2^n], {n, 0, z}];   (* A293327 *)
Table[Ceiling[r*2^n], {n, 0, z}]; (* A293328 *)
Table[Round[r*2^n], {n, 0, z}];   (* A293329 *)

Formula

a(n) = floor(r*2^n), where r = sqrt(1/3).

a(n) = A293328(n) - 1.

Extensions

Definition and formula corrected by Clark Kimberling, Dec 26 2022