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1. Definition & Example

Equivalently, a Dyck path can be seen as

The five Dyck paths of semi-length 3

http://www.findstat.org/Graphics/api/Cc0005_0_[1,0,1,0,1,0].png

http://www.findstat.org/Graphics/api/Cc0005_0_[1,0,1,1,0,0].png

http://www.findstat.org/Graphics/api/Cc0005_0_[1,1,0,0,1,0].png

http://www.findstat.org/Graphics/api/Cc0005_0_[1,1,0,1,0,0].png

http://www.findstat.org/Graphics/api/Cc0005_0_[1,1,1,0,0,0].png

 [1,0,1,0,1,0] 

 [1,0,1,1,0,0] 

 [1,1,0,0,1,0] 

 [1,1,0,1,0,0] 

 [1,1,1,0,0,0] 

2. FindStat representation and coverage

3. Additional information

3.1. Properties

4. Remarks

5. References

[Ath04]   C.A. Athanasiadis, Generalized Catalan numbers, Weyl groups and arrangements of hyperplanes, Bull. London Math. Soc., 36 (2004), pp. 294-392.

[Kra89]   C. Krattenthaler, Counting lattice paths with a linear boundary II, Sitz.ber. d. ÖAW Math.-naturwiss. Klasse 198 (1989), 171-199.

6. Sage examples


CategoryCombinatorialCollection