Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
combinatorial number |
| gptkbp:alsoKnownAs |
gptkb:large_Schröder_number
|
| gptkbp:describes |
number of plane trees with n+1 leaves
number of ways to insert parentheses in a sequence of symbols |
| gptkbp:field |
combinatorics
|
| gptkbp:first_terms |
1
11 197 3 45 903 103049 20793 2646723 4279 518859 |
| gptkbp:form |
S(n) = sum_{k=0}^{n-1} S(k) * S(n-1-k) + S(n-1)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schröder-Hipparchus number
|
| gptkbp:namedAfter |
gptkb:Ernst_Schröder
gptkb:Hipparchus |
| gptkbp:OEIS |
gptkb:A001003
|
| gptkbp:relatedTo |
gptkb:Catalan_number
|
| gptkbp:sequence |
non-negative integer sequence
|
| gptkbp:bfsParent |
gptkb:little_Schröder_number
|
| gptkbp:bfsLayer |
8
|