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1. Definition & Example

Equivalently, a Dyck path of semilength $n$ can be seen as

the 5 Dyck paths of size 3
  [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. Properties

3. Remarks

4. 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.

5. Sage examples

6. Technical information for database usage