Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:field |
gptkb:mathematics
enumerative combinatorics |
| gptkbp:first_terms |
2
1 21 323 4 9 51 127 835 |
| https://www.w3.org/2000/01/rdf-schema#label |
Motzkin number
|
| gptkbp:namedAfter |
gptkb:Theodore_Motzkin
|
| gptkbp:numberOfRooms |
number of non-crossing partitions of a set
number of Motzkin paths of length n |
| gptkbp:OEIS |
A001006
|
| gptkbp:recurrence |
M(n) = M(n-1) + sum_{k=0}^{n-2} M(k)*M(n-2-k) for n>1, M(0)=M(1)=1
|
| gptkbp:relatedTo |
gptkb:Catalan_number
|
| gptkbp:usedIn |
combinatorics
|
| gptkbp:bfsParent |
gptkb:T._S._Motzkin
|
| gptkbp:bfsLayer |
6
|