Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
combinatorics
|
| gptkbp:countedBy |
Motzkin numbers
|
| gptkbp:definedIn |
lattice paths from (0,0) to (n,0) with steps (1,1), (1,0), (1,-1) that never go below the x-axis
|
| gptkbp:firstAppearance |
1948
|
| gptkbp:generalizes |
gptkb:Dyck_paths
|
| gptkbp:hasStepType |
down step (1,-1)
level step (1,0) up step (1,1) |
| https://www.w3.org/2000/01/rdf-schema#label |
Motzkin paths
|
| gptkbp:namedAfter |
gptkb:Theodore_Motzkin
|
| gptkbp:neverGoBelow |
x-axis
|
| gptkbp:OEIS |
A001006
|
| gptkbp:relatedTo |
gptkb:Catalan_numbers
gptkb:Dyck_paths Motzkin numbers |
| gptkbp:usedIn |
gptkb:probability_theory
computer science algebraic combinatorics enumerative combinatorics lattice path enumeration |
| gptkbp:bfsParent |
gptkb:Dyck_paths
|
| gptkbp:bfsLayer |
8
|