Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
integer sequence
|
gptkbp:alsoKnownAs |
Motzkin numbers
|
gptkbp:appearsIn |
combinatorics
|
gptkbp:author |
gptkb:N._J._A._Sloane
|
gptkbp:describedBy |
Number of different ways of drawing non-intersecting chords between n points on a circle
|
gptkbp:first_terms |
2
1 21 323 4 9 51 127 835 |
https://www.w3.org/2000/01/rdf-schema#label |
A006318
|
gptkbp:OEIS_ID |
gptkb:A006318
|
gptkbp:OEIS_link |
https://oeis.org/A006318
|
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_numbers
|
gptkbp:sequence |
non-negative integers
|
gptkbp:bfsParent |
gptkb:Schröder's_number
|
gptkbp:bfsLayer |
7
|