A293328 Least integer k such that k/2^n > sqrt(1/3).

1, 2, 3, 5, 10, 19, 37, 74, 148, 296, 592, 1183, 2365, 4730, 9460, 18919, 37838, 75675, 151349, 302698, 605396, 1210792, 2421583, 4843166, 9686331, 19372661, 38745321, 77490642, 154981283, 309962566, 619925132, 1239850263, 2479700525, 4959401050, 9918802099

Offset: 0

Author

Clark Kimberling, Oct 10 2017

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A002194, A094386, A293327, 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) = ceiling(r*2^n), where r = sqrt(1/3).

a(n) = A293327(n) + 1.