[seqfan] Re: Conway's subprime Fibonacci sequences
Neil Sloane
njasloane at gmail.com
Tue Jul 24 17:00:16 CEST 2012
Tanya, Richard, Julian:
You should be aware of the paper by Back and Caragiu,
G. Back and M. Caragiu, The greatest prime factor and recurrent sequences,
Fib. Q., 48 (2010), 358-362.
which is closely related. Also sequences A175723, A177904, etc., which are
based on that paper.
Perhaps Julian could submit the sequence? - I see he is the primary author
of the ArXiv paper
Neil
On Tue, Jul 24, 2012 at 10:26 AM, Tanya Khovanova <
mathoflove-seqfan at yahoo.com> wrote:
> Dear SeqFans,
>
> I just coauthored a paper "Conway's subprime Fibonacci sequences" with
> Richard K. Guy and Julian Salazar. The paper is in the arxiv:
> http://arxiv.org/abs/1207.5099
>
> The main sequence (starting with 0,1) should be submitted. In July, I am
> working at RSI and do not have time to breath. Please, submit.
>
> The rule is: the next term is the sum of the two previous terms, and, if
> the sum is composite, it is divided by the least prime factor.
> Let me illustrate what is going on. First we start with two integers.
> Let's take 1 and 1 as in the Fibonacci sequence. Then the next term is
> 2, because it is prime and we do not divide by anything. The next two
> terms are 3 and 5. After that the sum of two terms is 8, which is now
> composite and it is divided by 2. So the sequence goes: 1, 1, 2, 3, 5,
> 4, 3, 7, 5, 6, 11 and so on.
>
>
> Tanya
>
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>
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>
--
Dear Friends, I have now retired from AT&T. New coordinates:
Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com
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