W. Lang, Sep 24 2008

a(n,m) tabl head (triangle) for A049404 (S1(-2))


    n\m    1     2       3         4         5         6        7       8     9   10...


    1      1     0       0         0         0         0        0       0     0    0

    2      2     1       0         0         0         0        0       0     0    0

    3      2     6       1         0         0         0        0       0     0    0

    4      0    20      12         1         0         0        0       0     0    0

    5      0    40      80        20         1         0        0       0     0    0

    6      0    40     360       220        30         1        0       0     0    0

    7      0     0    1120      1680       490        42        1       0     0    0

    8      0     0    2240      9520      5600       952       56       1     0    0

    9      0     0    2240     40320     48720     15120     1680      72     1    0

   10      0     0       0    123200    332640    184800    35280    2760    90    1
    .
    .
    .


The row sums give A049425(n), n>=1: [1,3,9,33,141,651,3333,18369,108153,678771,...].

The first column is A008279(2,n-1), n>=1, [1,2,2,0,0,0,...].

The partition number array related to this triangle is A144358.

############################################ e.o.f. ###################################