Table 2 Cyclic Eulerian numbers A(l, k), where k is the size of the loop and l the number of ascents

From: Inherent directionality explains the lack of feedback loops in empirical networks

k l

0

1

2

3

4

5

6

7

8

1

1

        

2

 

2

       

3

 

3

3

      

4

 

4

16

4

     

5

 

5

55

55

5

    

6

 

6

156

396

156

6

   

7

 

7

399

2114

2114

399

7

  

8

 

8

960

9528

19328

9528

960

8

 

9

 

9

2223

38637

140571

140571

38637

2223

9