Pierce numbers.

Mon Mar 11 23:30:33 CET 2002

Can anyone give any refs to the following,
whose rows add to Bell_(n+2)

     2   2   0     0     0     0    0     0   0  0
     5   2   3     0     0     0    0     0   0  0
    15   2   9     4     0     0    0     0   0  0
    52   2  21    24     5     0    0     0   0  0
   203   2  45   100    50     6    0     0   0  0
   877   2  93   360   325    90    7     0   0  0
  4140   2 189  1204  1750   840  147     8   0  0
 21147   2 381  3864  8505  6300 1862   224   9  0
115975   2 765 12100 38850 41706 18522 3696 324 10

You can get them by multiplying the corresp
Stirling numbers of the 2nd kind by  k+2.

The diagonal 2 9 24 50 90 147 224 324 450 605
is A006002 in OEIS, but I didn't find lower
diagonals or columns.     R.