W. Lang Oct 12 2007

a(n,m) tabl head (triangle) for  A049352 (S1p(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          12           1           0          0         0       0      0    0   0

   4          120         128          24           1          0         0       0      0    0   0

   5          840        1400         440          40          1         0       0      0    0   0

   6         6720       16240        7560        1120         60         1       0      0    0   0

   7        60480      201600      129640       27720       2380        84       1      0    0   0

   8       604800     2681280     2275840      656320      80080      4480     112      1    0   0

   9      6652800    38142720    41370560    15402240    2498160    196560    7728    144    1   0

  10     79833600   578793600   782812800   364817600   75358080   7805280  428400  12480  180   1

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The first column gives A001715(n+2)=(n+2)!/3!: [1,4,20,120,840,6720,60480,604800,6652800,79833600,..].

The row sums give A049377: [1,5,33,273,2721,31701,421905,6302913,104270913,1889862021,...].

The alternating row sums give A134137: [1,3,9,15,-159,-3021,-36903,-381249,-3212415,-12995901,...].


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