I don't know if you know about it, but if not, you might want to read my article, Pierce expansions and rules for the determination of leap years, which is available here: http://www.fq.math.ca/Scanned/32-5/shallit.pdf Best, Jeff On 3/31/13 6:44 PM, Keith F. Lynch wrote:
"Adam P. Goucher" <apgoucher@gmx.com> wrote:
http://cp4space.wordpress.com/2012/09/12/lunisolar-calendars/
I briefly mentioned the use of the Rabbit sequence to optimally approximate a leap year of length 364 + phi.
Interesting. Thanks. And very appropriate for Easter. :-)
You may have noticed that all my rules involve divisibility. That's because that's the most obvious property integers have that approaches a limit, i.e. some proportion of the first N integers have this property (e.g. are odd), and that proportion approaches a limit other than 0 or 1 as N grows large.