[seqfan] Re: Conway's subprime Fibonacci sequences
Charles Greathouse
charles.greathouse at case.edu
Fri Jul 27 14:58:54 CEST 2012
> would you be ok with the following strategy:
That seems fine to me.
> [[ problem: the 136 cycle might not fit on 3 lines ]]
I'd probably include them all anyway. If you're pretty close and the
sequence would be full with a few more, add them.
Charles Greathouse
Analyst/Programmer
Case Western Reserve University
On Fri, Jul 27, 2012 at 6:43 AM, Wouter Meeussen
<wouter.meeussen at telenet.be> wrote:
> Neil, Julian,
>
> would you be ok with the following strategy:
>
> I submit the cycle lengths (1), 10, 11, 18, 19, 56, 136 as 'potentially
> finite'
> and then, separately, for each cycle-case, the sequence starting from the
> smallest starting pair
> ~min (a^2+b^2). (cfr. Fig 3.)
> [[ problem: the 136 cycle might not fit on 3 lines ]]
> That makes 6 extra sequences.
> Or did I miss something?
>
>
> Wouter.
>
>
> -----Original Message----- From: Neil Sloane
> Sent: Thursday, July 26, 2012 5:24 PM
>
> To: Sequence Fanatics Discussion list
> Cc: Julian Salazar
> Subject: [seqfan] Re: Conway's subprime Fibonacci sequences
>
> Wouter, It looks like none of those sequences are in the OEIS yet - at
> least three have been mentioned so far. Would you be kind enough to submit
> them all?
> Thanks!
> Neil
>
> On Tue, Jul 24, 2012 at 1:10 PM, Wouter Meeussen <wouter.meeussen at telenet.be
>>
>> wrote:
>
>
>> let's not all do this simultaneously.
>> I'm ready & willing to oblige, anyone else busy on it right now?
>>
>> Wouter.
>>
>> -----Original Message----- From: Neil Sloane Sent: Tuesday, July 24, 2012
>> 5:00 PM To: Sequence Fanatics Discussion list Cc: Julian Salazar Subject:
>> [seqfan] Re: Conway's subprime Fibonacci sequences
>> 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
>>>
>>> ______________________________**_________________
>>>
>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>
>>>
>>
>>
>> --
>> 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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>>
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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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