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

%I #9 Jul 29 2022 09:56:49

%S 2,4,7,14,28,56,111,222,444,887,1774,3548,7095,14189,28378,56756,

%T 113512,227024,454047,908094,1816187,3632374,7264748,14529496,

%U 29058991,58117982,116235963,232471925,464943849,929887697,1859775394,3719550787,7439101574

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

%H Clark Kimberling, <a href="/A293325/b293325.txt">Table of n, a(n) for n = 0..1000</a>

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

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

%t z = 120; r = Sqrt[3];

%t Table[Floor[r*2^n], {n, 0, z}]; (* A094386 *)

%t Table[Ceiling[r*2^n], {n, 0, z}]; (* A293325 *)

%t Table[Round[r*2^n], {n, 0, z}]; (* A293326 *)

%o (Python)

%o from math import isqrt

%o def A293325(n): return 1+isqrt(3*(1<<(n<<1))) # _Chai Wah Wu_, Jul 28 2022

%Y Cf. A002194, A094386, A293326.

%K nonn,easy

%O 0,1

%A _Clark Kimberling_, Oct 09 2017