# [seqfan] Re: Delannoy numbers

Neil Sloane njasloane at gmail.com
Sun May 24 04:59:46 CEST 2020

```Thanks for those updates to A008288 (I assume that is the sequence you are
referring to).
I will make the changes.

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.
Email: njasloane at gmail.com

On Wed, May 20, 2020 at 9:15 AM mathcurves <mathcurves at gmail.com> wrote:

> Hello seqfans,
>
> I recently worked on the French page of delannoy numbers
> https://fr.wikipedia.org/wiki/Nombre_de_Delannoy, and suggest
> corrections on the corresponding page oeis
>
> 1) it should be said that T (n, k) = D (n-k, k) because it is not clear
>
> 2) D(n-k,k) is the number of lattice paths from (0,0) to (n,k) using
> steps (1,0), (0,1), (1,1). - Joerg Arndt
> <https://oeis.org/wiki/User:Joerg_Arndt>, Jul 01 2011
> should be corrected into
> D(n,k) is the number of lattice paths from (0,0) to (n,k) using steps
> (1,0), (0,1), (1,1). (or D(i,j) because the entry says D(i,j) ?)
>
> 3) "Sum of n-th row = A000129 <https://oeis.org/A000129>(n). - Reinhard
> Zumkeller <https://oeis.org/wiki/User:Reinhard_Zumkeller>, Dec 03 2004
> "  and  "Row sums are A000129 <https://oeis.org/A000129>. - Roger L.
> Bagula <https://oeis.org/wiki/User:Roger_L._Bagula>, Dec 09 2008 "   are
> exactly the same and more precisely, it should be said :
> Sum_{k=0..n} D(n-k,k) = Sum_{k=0..n} T(n,k) = A000129
> <https://oeis.org/A000129>(n+1) (because A000129
> <https://oeis.org/A000129>(0)=0 not 1 )
>
> Best regards
>
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>
```