A283776 Numbers k such that floor(k*sqrt(3)) is odd.

1, 2, 3, 8, 9, 10, 11, 15, 16, 17, 18, 23, 24, 25, 26, 30, 31, 32, 33, 38, 39, 40, 41, 45, 46, 47, 48, 53, 54, 55, 60, 61, 62, 63, 68, 69, 70, 75, 76, 77, 78, 83, 84, 85, 90, 91, 92, 93, 98, 99, 100, 105, 106, 107, 108, 112, 113, 114, 115, 120, 121, 122, 123

Offset

1,2

Comments

Complement of A283775.

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Formula

a(n+1) - a(n) is in {1,4,5} for every n.

Mathematica

r = Sqrt[3]; z = 350; t = Table[Floor[n*r], {n, 1, z}]; u = Mod[t, 2];
Flatten[Position[u, 0]]  (* A283775 *)
Flatten[Position[u, 1]]  (* A283776 *)
Select[Range[200], OddQ[Floor[# Sqrt[3]]]&] (* Harvey P. Dale, Nov 20 2020 *)

Prog

(PARI) for(n=1, 125, if(floor(n*sqrt(3))%2==1, print1(n, ", "))) \\ Indranil Ghosh, Mar 21 2017
(Python)
import math
from sympy import sqrt
print([n for n in range(1, 126) if int(math.floor(n*sqrt(3)))%2==1]) # Indranil Ghosh, Mar 21 2017

Crossrefs

Cf. A002194, A283775.

Sequence in context: A053754 A353652 A080745 * A047476 A347397 A037462

Adjacent sequences: A283773 A283774 A283775 * A283777 A283778 A283779

Keyword

nonn,easy

Author

Clark Kimberling, Mar 19 2017

Status

approved