[seqfan] Re: A question and a sequence connected with A098550

[Neil Sloane]

Vladimir,  David Applegate and I also observed that.  There is a slightly
more precise conjecture in "Conjecture 5" in A098550.

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 Wed, Dec 3, 2014 at 11:22 AM, Vladimir Shevelev <shevelev at bgu.ac.il>
wrote:

> Let a(n)=A098550(n). Consider sequence b(n)=a(k-1)/a(k) such that a(k)=
> prime(n), n>=3. I get (using table in A098550):
> 3,5,2,3,3,2,3,3,2,2,3,2,2,2,2,2,3,
> 2,2,2,3,2,3,... On this stage I thougt that, except for a(4)=5, it is a
> (2,3)-sequence
> (the last 3 corresponds to n=25, prime(n)=97). But I was surprised that
> further
> up to n=57 I get only 2's (!) How to explain such a phenomena?
> Besides, I have just submitted a Fibonacci-like sequence A249357 which is
> constructed on a rule in the definition of A098550.
>
> Best regards,
> Vladimir
>
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