W. Lang, Nov 9 2007

a(n,m) tabl head (triangle) for  A030523 (s1p(3) aka s1(3))


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


   1         1        0        0        0        0       0       0      0     0    0

   2         3        1        0        0        0       0       0      0     0    0

   3         8        6        1        0        0       0       0      0     0    0

   4        20       25        9        1        0       0       0      0     0    0

   5        48       88       51       12        1       0       0      0     0    0

   6       112      280      231       86       15       1       0      0     0    0

   7       256      832      912      476      130      18       1      0     0    0

   8       576     2352     3276     2241      850     183      21      1     0    0

   9      1280     6400    10976     9424     4645    1380     245     24     1    0

  10      2816    16896    34848    36432    22363    8583    2093    316    27    1
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  The first column gives A001792 = [1,3,8,20,48,112,256,576,1280,2816,...].

  The row sums give A039717= [1,4,15,55,200,725,2625,9500,34375,124375,...].

  The alternating row sums give A057682 = [1, 2, 3, 3, 0, -9, -27, -54, -81, -81].


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