W. Lang, Nov 09 2007

a(n,m) tabl head (triangle) for A035324


    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         10         6         1        0        0        0       0      0     0    0

    4         35        29         9        1        0        0       0      0     0    0

    5        126       130        57       12        1        0       0      0     0    0

    6        462       562       312       94       15        1       0      0     0    0

    7       1716      2380      1578      608      140       18       1      0     0    0

    8       6435      9949      7599     3525     1045      195      21      1     0    0

    9      24310     41226     35401    19044     6835     1650     259     24     1    0

   10      92378    169766    161052    97954    40963    12021    2450    332    27    1
    .
    .
    .

  
The first column gives A001700(n-1):
[1,3,10,35,126,462,1716,6435,24310,92378,...].


The row sums gives A049027:
[1,4,17,74,326,1446,6441,28770,128750,576944,...].


The alternating row sums gives A000108(n), n>=1, (Catalan numbers)

[1,2,5,14,42,132,429,1430,4862,16796,..,].


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