a(m,k) tabl head (triangle) for  A093559. Denominators.
 Companion triangle for numerators is A093559 (see also the W.Lang link there).
  
 
     m\k      0        1        2        3        4        5        6        7        8        9
  

     2        6        0        0        0        0        0        0        0        0        0
 
     3       10       30        0        0        0        0        0        0        0        0

     4       14       14       42        0        0        0        0        0        0        0

     5       18        9       10       30        0        0        0        0        0        0

     6       22       33       66       22       66        0        0        0        0        0

     7       26       26       78      273      910     2730        0        0        0        0

     8       30       30       15        9       90        2        6        0        0        0

     9       34       51       51       51      102       51      170      510        0        0

    10       38       19       95       95      190       57     3990      266      798        0