W. Lang Nov 12 2007

 a(n,m) tabl head (triangle) for A134285, called s2(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         10        3        1        0       0      0     0     0    0    0

    4         35       19        3        1       0      0     0     0    0    0

    5        126       65       19        3       1      0     0     0    0    0

    6        462      331       92       19       3      1     0     0    0    0

    7       1716     1190      421       92      19      3     1     0    0    0

    8       6435     5587     1805      502      92     19     3     1    0    0

    9      24310    20613     8771     2075     502     92    19     3    1    0

   10      92378    92821    35726    10616    2318    502    92    19    3    1
    .
    .
    .


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

The row sums give A134826: [1,4,14,58,214,908,3442,14444,56386,234476,...].
 
The alternating row sums give A134827: [1,2,8,18,78,206,872,2226,10820,26558,...].

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