a(n,m) tabl head (triangle) for  A113647

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

                                
   0        1        0        0        0        0        0        0        0        0        0

   1        1        3        0        0        0        0        0        0        0        0

   2        1        7       13        0        0        0        0        0        0        0

   3        1       15       41       67        0        0        0        0        0        0

   4        1       31      113      247      381        0        0        0        0        0

   5        1       63      289      783     1545     2307        0        0        0        0

   6        1      127      705     2271     5361     9975    14589        0        0        0

   7        1      255     1665     6207    16929    36879    66057    95235        0        0

   8        1      511     3841    16255    50113   123871   255985   446455   636925        0

   9        1     1023     8705    41215   141441   389183   901153  1794063  3067913  4341763

   .
   .
   .

 The row sums give  A115136:
 
[1, 4, 21, 124, 773, 4988, 33029, 223228, 1533957, 10686460, 75309061, ...]

################################################ eof ################################################