[seqfan] Rif: Re: A134675 = A007434 + A001065
john.mason at lispa.it
john.mason at lispa.it
Wed Jan 7 17:13:33 CET 2015
Thanks Neil
I will do as you suggest
john
__________________________________
Da: Neil Sloane <njasloane at gmail.com>
Per: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Data: 07/01/2015 17:11
Oggetto: [seqfan] Re: A134675 = A007434 + A001065
Inviato da: "SeqFan" <seqfan-bounces at list.seqfan.eu>
That is very interesting, and Yes, we need more
of such empirical identities, since they are
very nontrivial to find
If you would, add a line (the same line) to all three sequences, saying
It appears that A134675 = A007434 + A001065. - ~~~~
(the four tildes then magically get replaced by your name and date)
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, Jan 7, 2015 at 10:20 AM, <john.mason at lispa.it> wrote:
> Dear friends
> I noticed that (at least for the first 1000 terms), A134675 = A007434 +
> A001065, though A134675 makes no mention of the other two.
>
> Definitions:
> A007434 : Jordan function J_2(n) (a generalization of phi(n)).
> A001065 : Sum of proper divisors (or aliquot parts) of n: sum of
divisors
> of n that are less than n
> A134675 : Row sums of triangle A134674
> (where A134674 = A134673 * A000012,
> and A134673 = A051731 + A127448 - I, I = Identity matrix,
> and so on).
>
> I hesitate in editing the "formula" section of A134675, as I have no
idea
> WHY the addition works.
>
> Is OEIS interested in me finding other non-cross-referenced sums?
>
> john
>
>
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> Seqfan Mailing list - http://list.seqfan.eu/
>
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