W. Lang Oct 05 2007

a(n,m) tabl head (triangle) for A049374 (S1p(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             42            18             1             0            0           0          0        0      0    0

    4            336           276            36             1            0           0          0        0      0    0

    5           3024          4200           960            60            1           0          0        0      0    0

    6          30240         66024         23400          2460           90           1          0        0      0    0

    7         332640       1086624        557424         87360         5250         126          1        0      0    0

    8        3991680      18805248      13349952       2916144       255360        9912        168        1      0    0

    9       51891840     342486144     325854144      95001984     11343024      632016      17136      216      1    0

   10      726485760    6559128576    8162985600    3080911680    480664800    35991648    1386000    27720    270    1 
    .
    .
    .


  The first column gives A001725(n+4), n>=1: [1,6,42,336,3024,30240,332640,3991680,51891840,726485760, ...].

  The row sums give A049402 = [1,7,61,649,8245,122215,2069425,39328465,827226505,19047582055,...].

  The alternating row sums give A134140 =[1,5,25,95,-275,-14755,-278795,-4134145,-49014215,-304537195,...].


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