A293325 Least integer k such that k/2^n > sqrt(3).

2, 4, 7, 14, 28, 56, 111, 222, 444, 887, 1774, 3548, 7095, 14189, 28378, 56756, 113512, 227024, 454047, 908094, 1816187, 3632374, 7264748, 14529496, 29058991, 58117982, 116235963, 232471925, 464943849, 929887697, 1859775394, 3719550787, 7439101574

Offset

0,1

Links

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

Formula

a(n) = ceiling(r*2^n), where r = sqrt(3).

a(n) = A094386(n) + 1.

Mathematica

z = 120; r = Sqrt[3];
Table[Floor[r*2^n], {n, 0, z}];   (* A094386 *)
Table[Ceiling[r*2^n], {n, 0, z}]; (* A293325 *)
Table[Round[r*2^n], {n, 0, z}]; (* A293326 *)

Prog

(Python)
from math import isqrt
def A293325(n): return 1+isqrt(3*(1<<(n<<1))) # Chai Wah Wu, Jul 28 2022

Crossrefs

Cf. A002194, A094386, A293326.

Sequence in context: A251653 A057744 A251708 * A251713 A251744 A251751

Adjacent sequences: A293322 A293323 A293324 * A293326 A293327 A293328

Keyword

nonn,easy

Author

Clark Kimberling, Oct 09 2017

Status

approved