Lossnitsch's triangle

[N. J. A. Sloane]

I came across a nice triangle of numbers in a chemistry paper from 1897
- a companion to Pascal's triangle - which deserves to be better known:

                   1
                 1   1
               1   1   1
             1   2   2   1
           1   2   4   2   1
         1   3   6   6   3   1
       1   3   9   10  9   3   1
      1  4   12  19  19  12  4  1
    1  4   16  28  38  28  16  4  1
  1   5  20  44  66  66  44  20  5  1
1   5  25  60  110 126 110 60  25  5  1
.......................................

Have any of you seen this before?

Many of the diagonals and other associated sequences
were already in the sequence table. (By the way, in case
you didn't know, the table includes arrays like this one:
I convert it to a sequence by reading it by rows.)

For a recurrence (if you can't guess it!) and generating functions see
www.research.att.com/~njas/sequences/classic.html#LOSS

Neil Sloane