OFFSET
0,5
COMMENTS
a(n) is also the curvature (rounded down) of the circle inscribed in the n-th 3:4:5 triangle arranged in a spiral as shown in the illustration in the links section. - Kival Ngaokrajang, Aug 21 2013
By the result of Dubickas and Novikas, a(n) is divisible by at least one of 2, 3, 7, 11, 13 infinitely often, so that a(n) is composite infinitely often. - Tomohiro Yamada, Apr 23 2017
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..400
Arturas Dubickas, Aivaras Novikas, Integer parts of powers of rational numbers, Math. Z. 251 (2005), 635-648, available from the first author's page.
Kival Ngaokrajang, Illustration of some initial terms.
MATHEMATICA
Table[ Floor[(5/4)^n], {n, 0, 41}] (* Robert G. Wilson v, May 26 2004 *)
PROG
(PARI) for (n=0, 400, write("b065565.txt", n, " ", floor((5/4)^n)) ) \\ Harry J. Smith, Oct 22 2009
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Nov 30 2001
EXTENSIONS
Edited by N. J. A. Sloane at the suggestion of Stefan Steinerberger, Jun 20 2007
Offset changed from 1 to 0 by Harry J. Smith, Oct 22 2009
STATUS
approved