A144270 lower triangular array
 
 W. Lang Sep 17 2008

 a(n,m) tabl head (triangle) for A144270


   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             3          1         1        0       0      0     0    0    0    0

    4            15          4         1        1       0      0     0    0    0    0

    5           105         18         4        1       1      0     0    0    0    0

    6           945        129        19        4       1      1     0    0    0    0

    7         10395       1095       132       19       4      1     1    0    0    0

    8        135135      11880      1119      133      19      4     1    1    0    0

    9       2027025     149940     12057     1122     133     19     4    1    1    0

   10      34459425    2218545    151560    12081    1123    133    19    4    1    1
    
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 Row sums give A144271: [1,2,5,21,129,1099,11647,148292,2190302,36842892, ...].
 
 The first column gives A001147(n-1) = (2*n-3)(!^2) (2-factorials) for n>=2 and 1 if n=1.

 The second and third columns are given under A144272 and A144273.


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