A132292 Integers repeated 8 times: a(n) = floor((n-1)/8).
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10
Offset: 1
Programs
-
Magma
[(n - 1) div 8 : n in [1..90]]; // Vincenzo Librandi, Oct 05 2018
-
Maple
A132292:=n->floor((n-1)/8); seq(A132292(n), n=1..100); # Wesley Ivan Hurt, Feb 27 2014
-
Mathematica
Table[Floor[(n-1)/8], {n, 100}] (* Wesley Ivan Hurt, Feb 27 2014 *) Table[PadRight[{},8,n],{n,0,10}]//Flatten (* Harvey P. Dale, Apr 13 2020 *) -
PARI
a(n)=(n-1)\8 \\ Charles R Greathouse IV, Jun 18 2013
-
Python
def A132292(n): return n-1>>3 # Chai Wah Wu, Jul 27 2022
Formula
Also, a(n) = floor((n^8-n^7)/(8n^7-7n^6)). - Mohammad K. Azarian, Nov 18 2007
a(n) = A180969(3,n).
a(n) = (r - 8 + 4*sin(r*Pi/8))/16 where r = 2*n - 1 - 2*cos(n*Pi/2) - cos(n*Pi) + 2*sin(n*Pi/2). - Wesley Ivan Hurt, Oct 04 2018
Extensions
Offset corrected by Mohammad K. Azarian, Nov 20 2008
New name from Wesley Ivan Hurt, Jun 17 2013
Comments