[seqfan] Re: Triangle of multiples count

M. F. Hasler oeis at hasler.fr
Wed Apr 27 14:23:20 CEST 2022


On Wed, Apr 27, 2022, 00:02 jnthn stdhr <jstdhr at gmail.com> wrote:

> Dear seqfans,
>
> If T(n,k) lists the count of multiples of zero to n,


That's indeed somewhat unclear...

the triangle begins:
>
> n/k  0  1  2  3  4  5  6
>
> 0:     1
> 1:     1  1
> 2:     1  2  1
> 3:     1  3  1  1
> 4:     1  4  2  1  1
> 5:     1  5  2  1  1  1
> 6:     1  6  3  2  1  1  1
>

This looks like
 T(n,k) = floor( n/k ) if k>0 else 1

The sequence appears to not be in the database.  Should I add it?
>

If I guessed the definition correctly, this is oeis.org/A010766
(without the initial column 0 which is somewhat artificial).

- M.



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