W. Lang, Jul 13 2007

 a(n,m) tabl head (triangle) for  A130757


   n\m           0            1           2            3          4          5       6       7    8 ...


   0             1            0           0            0          0          0       0       0    0

   1             3           -1           0            0          0          0       0       0    0

   2            15          -10           1            0          0          0       0       0    0

   3           105         -105          21           -1          0          0       0       0    0

   4           945        -1260         378          -36          1          0       0       0    0

   5         10395       -17325        6930         -990         55         -1       0       0    0

   6        135135      -270270      135135       -25740       2145        -78       1       0    0

   7       2027025     -4729725     2837835      -675675      75075      -4095     105      -1    0

   8      34459425    -91891800    64324260    -18378360    2552550    -185640    7140    -136    1
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  The next rows are:
 
  n=9:

 [654729075,-1964187225,1571349780,-523783260,87297210,-7936110,406980,-11628,171,-1]
 
  n=10: 
[13749310575, -45831035250, 41247931725, -15713497800, 3055402350, -333316620, 21366450, -813960, 17955, -210, 1]]   

######################

  Row sums (signed) give A131441: [1, 2, 6, 20, 28, -936, -23672, -469456, -9112560, -182135008, -3804634784,...].

  Row sums (unsigned) give A066224: 
  [1, 4, 26, 232, 2620, 35696, 568504, 10349536, 211799312, 4809701440, 119952692896,...].

#####################
 
  Column sequences are, for m=0..3: A001147(n+1)=(2*n+1)!!, A000457, A001881, A130563.


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