[seqfan] Re: https://oeis.org/A254211 Finite?

Ron Hardin rhhardin at att.net
Tue Jan 27 12:26:54 CET 2015


Right, the every partial sum from either end is never prime.  (iv) could as well start k=1 and just duplicate (iii) once.

 
rhhardin at mindspring.com
rhhardin at att.net (either)


>________________________________
> From: Neil Sloane <njasloane at gmail.com>
>To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu> 
>Sent: Monday, January 26, 2015 10:18 PM
>Subject: [seqfan] Re: https://oeis.org/A254211 Finite?
> 
>
>Just to clarify the definition:
>These are vectors [u_1 ... u_n] such that
>(i)   u_i = 1,2 or 3
>(ii)  u_i != u_{i+1}
>(iii) Sum_{i=1..k} u_i != prime for k=1..n
>(iv) Sum_{i=k..n} u_i != prime for k=2..n
>- is that right?
>
>Best regards
>Neil
>
>Neil J. A. Sloane, President, OEIS Foundation.
>11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
>Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
>Phone: 732 828 6098; home page: http://NeilSloane.com
>Email: njasloane at gmail.com
>
>
>
>
>
>
>On Mon, Jan 26, 2015 at 9:12 PM, Ron Hardin <rhhardin at att.net> wrote:
>
>> The numbers for https://oeis.org/A254211 suggest that it might be finite
>> but I have no insight on the matter.
>>
>>
>> Number of length n 1..(1+2) arrays with no leading or trailing partial sum
>> equal to a prime and no consecutive values equal
>>
>> rhhardin at mindspring.com
>> rhhardin at att.net (either)
>>
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>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
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