W. Lang, Sep 24 2008

a(n,m) tabl head (triangle) for A049403 (S1(-1))


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

    1      1    0     0      0      0       0       0      0     0    0

    2      1    1     0      0      0       0       0      0     0    0

    3      0    3     1      0      0       0       0      0     0    0

    4      0    3     6      1      0       0       0      0     0    0

    5      0    0    15     10      1       0       0      0     0    0

    6      0    0    15     45     15       1       0      0     0    0

    7      0    0     0    105    105      21       1      0     0    0

    8      0    0     0    105    420     210      28      1     0    0

    9      0    0     0      0    945    1260     378     36     1    0

   10      0    0     0      0    945    4725    3150    630    45    1
    .
    .
    .


 The row sums give A000085(n), n>=1, [1,2,4,10,26,76,232,764,2620,9496,...].

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

 The partition array related to this triangle is M31(-1)=A144357.

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