W. Lang Oct 12 2007

a(n,m) tabl head (triangle) for  A134141, called S1p(7)



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


   1              1            0            0            0           0         0        0      0    0   0

   2              7            1            0            0           0         0        0      0    0   0

   3             56           21            1            0           0         0        0      0    0   0
   
   4            504          371           42            1           0         0        0      0    0   0

   5           5040         6440         1295           70           1         0        0      0    0   0

   6          55440       114520        36225         3325         105         1        0      0    0   0

   7         665280      2116800       983920       135975        7105       147        1      0    0   0

   8        8648640     40884480     26714800      5199145      398860     13426      196      1    0   0

   9      121080960    826338240    735469280    193087440    20355825    989604    23226    252    1   0

  10      1816214400 17474184000  20684008800   7107354800   986964615  64888005  2174130  37590  315   1  
   .
   .
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  The first column gives A001730:(n+5), n>-1: [1,7,56,504,5040,55440,665280,8648640,121080960,1816214400,...].

  The row sums give A132164: [1,8,78,918,12846,209616,3909228,81859548,1897344828,48135826656,...].

  The alternating row sums give A132165: [1,6,36,174,-174,-26076,-596616,-10334556,-143486244,-1157102136,...].

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