Statements (35)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:author |
gptkb:N._J._A._Sloane
|
| gptkbp:eighteenth_term |
2356779
|
| gptkbp:eighth_term |
127
|
| gptkbp:eleventh_term |
2188
|
| gptkbp:fifteenth_term |
113634
|
| gptkbp:fifthBook |
9
|
| gptkbp:first_terms |
1
|
| gptkbp:form |
a(n) = sum_{k=0..floor(n/2)} binomial(n,2k)*Catalan(k)
a(n) = a(n-1) + sum_{k=0}^{n-2} a(k)*a(n-2-k), a(0)=a(1)=1 |
| gptkbp:fourteenth_term |
41835
|
| gptkbp:fourthPlace |
4
|
| gptkbp:hasKeyword |
easy
nice core nonn |
| https://www.w3.org/2000/01/rdf-schema#label |
A001190
|
| gptkbp:nineteenth_term |
6536382
|
| gptkbp:ninth_term |
323
|
| gptkbp:OEIS |
gptkb:A001190
https://oeis.org/A001190 |
| gptkbp:relatedTo |
gptkb:Catalan_numbers
gptkb:Dyck_paths |
| gptkbp:sequence |
Motzkin numbers
|
| gptkbp:seventeenth_term |
853467
|
| gptkbp:seventhBook |
51
|
| gptkbp:sixteenth_term |
310572
|
| gptkbp:sixthBook |
21
|
| gptkbp:tenth_term |
835
|
| gptkbp:thirdPlace |
2
|
| gptkbp:thirteenth_term |
15511
|
| gptkbp:twelfth_term |
5798
|
| gptkbp:twentieth_term |
18199284
|
| gptkbp:bfsParent |
gptkb:OEIS_A006125
|
| gptkbp:bfsLayer |
7
|