[seqfan] Re: A134675 = A007434 + A001065

[Neil Sloane]

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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