Research Article

Combinatorial Interpretation of General Eulerian Numbers

Table 2

The map .

Position Condition

  
  
     
  
and  
  
With and   
Case  (c1)
  
With ,   
Case  (c3)
  
With ,   
Case  (d2)
  
With   
Case  (d1)

  
and  
  
With and   
Case  (c2)
  
With ,   
Case  (c4)
  
  
Case  (c6)
  
and  
  
Case  (c5)