[seqfan] Re: periodicity of expansion of 3/2 in phi-phase A173857

Joerg Arndt arndt at jjj.de
Fri Mar 12 09:16:20 CET 2010

* Richard Mathar <mathar at strw.leidenuniv.nl> [Mar 12. 2010 08:19]:
> Continuing on http://list.seqfan.eu/pipermail/seqfan/2010-March/003830.html ,
> is there a period length 20 in for the digits of the expansion of 6/5 in 
> http://oeis.org/classic/A173859
> as well, with associated recurrence 
> a(n)= +a(n-2) -a(n-4) +a(n-6) -a(n-8) +a(n-10) -a(n-12) +a(n-14) -a(n-16) +a(n-18) for n>18?

Offset should be _zero_ (for all those phi-expansions):
  1 == phi^0

Periodicity:  the seq are the expansions of 1+1/n
use the minimal polynomial of phi to determine
(closed form, or at least algorithm) the periodicity
of 1/n in base phi.

Suggest seq: period of expansion of 1/n in base phi.

More information about the SeqFan mailing list