A090893 Solutions x to equation floor(x*r*floor(x/r)) = floor(x/r*floor(x*r)) when r=sqrt(3).

0, 1, 2, 4, 7, 9, 14, 16, 21, 23, 26, 28, 30, 33, 35, 40, 42, 47, 49, 52, 54, 56, 59, 61, 66, 68, 73, 75, 78, 80, 85, 87, 92, 94, 97, 99, 101, 104, 106, 111, 113, 118, 120, 123, 125, 127, 130, 132, 137, 139, 144, 146, 149, 151, 156, 158, 163, 165, 170, 172, 175, 177

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Formula

It seems that a(n) = 3*n + o(n); conjecture : a(n) = 3*n + O(1).

Mathematica

With[{r = Sqrt[3]}, Select[Range[0, 200], Floor[#*r*Floor[#/r]] == Floor[(#/r)*Floor[#*r]] &]] (* G. C. Greubel, Feb 06 2019 *)

Prog

(PARI) r=sqrt(3); for(n=0, 200, if(floor(n*r*floor(n/r))==floor(n/r*floor(n*r)), print1(n, ", ")))

Crossrefs

Cf. A001519.

Sequence in context: A099847 A014817 A326502 * A100486 A139533 A227116

Adjacent sequences: A090890 A090891 A090892 * A090894 A090895 A090896

Keyword

nonn

Author

Benoit Cloitre, Feb 15 2004

Status

approved