W. Lang, Oct 09 2008

a(n,m) tabl head (triangle) for A144891 (S1hat(5))


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

    1              1           0          0         0        0       0      0     0    0    0

    2              5           1          0         0        0       0      0     0    0    0

    3             30           5          1         0        0       0      0     0    0    0

    4            210          55          5         1        0       0      0     0    0    0

    5           1680         360         55         5        1       0      0     0    0    0

    6          15120        3630        485        55        5       1      0     0    0    0

    7         151200       29820       4380       485       55       5      1     0    0    0

    8        1663200      321300      39570      5005      485      55      5     1    0    0

    9       19958400     3225600     421800     43320     5005     485     55     5    1    0

   10      259459200    38808000    4265100    470550    46445    5005    485    55    5    1
    .
    .
    .


 The row sums give A144892 = [1,6,36,271,2101,19296,185946,2029621,23654671,303054846,...].
 They coincide with the ones for array A144890 (M31hat(5)).

 The first columns are A001720(n+3) = (n+3)!/4!, A144893, A144894,...
 

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