W. Lang Sep 17 2008

a(n,m) tabl head (triangle) for A144275


    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              10            2          1         0        0       0      0     0    0    0

    4              80           14          2         1        0       0      0     0    0    0

    5             880          100         14         2        1       0      0     0    0    0

    6           12320         1140        108        14        2       1      0     0    0    0

    7          209440        14880       1180       108       14       2      1     0    0    0

    8         4188800       249280      15400      1196      108      14      2     1    0    0

    9        96342400      4801280     255400     15480     1196     108     14     2    1    0

   10      2504902400    108574400    4888960    256440    15512    1196    108    14    2    1
 
    .
    .
    .


 The row sums give A144276: [1,3,13,97,997,13585,225625,4454801,101415881,2618639033,...]. 

 The first three columns are given by  A008544, A144277, A144278.   


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