W. Lang, Nov 09 2007

a(n,m) tabl head (triangle) for  A134280 (S2(6)')


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


   1                1            0           0         0        0       0      0    0    0   0

   2                6            1           0         0        0       0      0    0    0   0

   3               66            6           1         0        0       0      0    0    0   0

   4             1056          102           6         1        0       0      0    0    0   0

   5            22176         1452         102         6        1       0      0    0    0   0

   6           576576        32868        1668       102        6       1      0    0    0   0

   7         17873856       779328       35244      1668      102       6      1    0    0   0

   8        643458816     23912064      843480     36540     1668     102      6    1    0   0

   9      26381811456    812173824    25416072    857736    36540    1668    102    6    1   0

  10    1213563326976  32522878080   853003008  25800984   865512   36540   1668  102    6   1
 
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The first column sequence gives A008548(n) = (5*n-4)(!^5): 
[1, 6, 66, 1056, 22176, 576576, 17873856, 643458816, 26381811456, 1213563326976,...], (5-factorials).


The row sums give A132281 = [1,7,73,1165,23737,611221,18690205,668252677,27220297405,1246965912877,...]. 


The alternating row sums give  A132282 = [1,5,61,959,20821,545279,17128201,620355263,25594230937,
1181868481463,60478614651577,...].


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