[seqfan] Re: A259444

Vladimir Shevelev shevelev at bgu.ac.il
Mon Oct 26 09:48:30 CET 2015


Thank you, Neil, for the explanation.
However, in A259444, for, say, a(3)=5 we should
have for m,r<3,  5 != a(m)^a(r) which
is not true. I think that the name could be

a(1)=2. If we already have the terms a(1)<a(2)<
...<a(n), then a(n+1) is the smallest number >a(n)
which has no the form a(i)^a(j), i,j<=n.


Best regards,
Vladimir

________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Neil Sloane [njasloane at gmail.com]
Sent: 25 October 2015 17:54
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: A259444

It looks like ^ is exponentation, which is what it always is

After 2, we have to avoid 2^2 = 4, so 3 works

After 2,3 we have to avoid 2^2=4, 2^3=8, 3^2=9, 3^3=27, so 5 works,
also 6, also 7. Then 10, 11 and so on

I will add some examples to the sequence

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 Sun, Oct 25, 2015 at 10:58 AM, Vladimir Shevelev <shevelev at bgu.ac.il>
wrote:

> I do not understand the definition of A259444:
> "a(1)=2. For n>1, a(n) = smallest number > a(n-1)
> such that, for all m,r<n, a(n) != a(m)^a(r)."
> The first terms 2, 3, 5, 6, 7, 10,...
>
> Most likely, the author meant under ^ another operation.
> But + is not suitable: indeed, if a(n) != a(m)+a(r), then
> a(6)=10 is not suitable, since for m=2, r=5 we have a(m)+a(r)=a(6)
> and also for m=3, r=3 we also have a(m)+a(r)=a(6).
> What is the right definition?
>
> Best regards,
> Vladimir
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>

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