W. Lang, Oct 09 2008

a(n,m) tabl head (triangle) for A144886 (S1hat(4))


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


    1             1           0          0         0        0       0      0     0    0    0

    2             4           1          0         0        0       0      0     0    0    0

    3            20           4          1         0        0       0      0     0    0    0

    4           120          36          4         1        0       0      0     0    0    0

    5           840         200         36         4        1       0      0     0    0    0

    6          6720        1720        264        36        4       1      0     0    0    0

    7         60480       12480       2040       264       36       4      1     0    0    0

    8        604800      118560      16000      2296      264      36      4     1    0    0

    9       6652800     1081920     149600     17280     2296     264     36     4    1    0

   10      79833600    11793600    1362240    163680    18304    2296    264    36    4    1
    .
    .
    .


The row sums give A144887 = [1,5,25,161,1081,8745,75305,741961,7904201,93174025,...].
They coincide with the row sums of array A144885 (M31hat(4)).

The first columns are A001715(n+2) = (n+2)!/3!, A144888, A144889,...


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