# A143344 vs A080092

Richard Mathar mathar at strw.leidenuniv.nl
Fri Aug 15 15:20:08 CEST 2008

```Well, that's a good side-effect of trying to connect sequences into
supersequences and arrays.  Errors are detected in the existing seqs.
So instead of a new seq (unless someone cares about k=4, k=5, k=6) we
that "The main diagonal is A072473, and the array is A090321" for
A001223 and A031131 and A031165 and A072473 and A090321?

On Thu, Aug 14, 2008 at 9:52 PM,  <franktaw at netscape.net> wrote:
> ... The main diagonal is A072473, and the array is A090321
> (by descending anti-diagonals from this presentation).
>
>
> -----Original Message-----
> From: franktaw at netscape.net
> ...
> And the n = 1 column is A040976.
>
> In fact, the entire second row is off by one column; the 3 needs to be
> inserted at the beginning of the row.
>
> -----Original Message-----
>
> From: Jonathan Post <jvospost3 at gmail.com>
>
> Since I see that A031165 has just been (re)edited, and comments
> already read: "This sequence is the k=3 case of the family of
> sequences a(k,n) = prime(n+k) - prime(n). See A001223 and A031131 for
> k = 1 and 2."  it seems to me worth looking at the array a(k,n) =
> prime(n+k) - prime(n) by value (rather than just by reference). Is
> there anbything worth saying about it, or worth entering it as a seq
> by antidiagonals?
>
> .......|n=1.|.n=2.|.n=3.|.n=4.|.n=5.|.n=6.|...
> k=1.|...1..|...2...|...2...|...4..|...2...|...4...|...
> k=2.|...4..|...6...|...6...|...6..|...6...|...6...|...
> k=3.|...5..|...8...|...8...|..10.|...8...|..10..|...
> k=4.|...9..|..10..|..12...|..12..|.12..|..16..|...
> k=5.|..11.|..14..|..14...|..16..|.18..|..18..|...
> k=6.|..15.|..16..|..18...|..22..|.20.|...24..|...
>
> and so forth..
>
> The n=1 column is 1,4,5,9,11,15,... which is not in OEIS..
>

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