Statements (47)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:appearsIn |
gptkb:Pascal's_triangle
|
| gptkbp:author |
gptkb:N._J._A._Sloane
|
| gptkbp:citation |
gptkb:A001047
gptkb:A007318 A000984 A002457 A001700 |
| gptkbp:describes |
Central binomial coefficients: binomial(2n, n), n >= 0.
|
| gptkbp:field |
combinatorics
|
| gptkbp:first_terms |
2
1 20 252 6 70 924 3432 12870 48620 184756 10400600 2704156 705432 |
| gptkbp:form |
a(n) = binomial(2n, n)
|
| gptkbp:hasKeyword |
easy
nice core full nonn fini |
| https://www.w3.org/2000/01/rdf-schema#label |
A001844
|
| gptkbp:OEIS |
gptkb:A001844
https://oeis.org/A001844 |
| gptkbp:offset |
0
|
| gptkbp:recurrence |
a(n) = 2*(2n-1)*a(n-1)/n, a(0)=1
|
| gptkbp:relatedTo |
gptkb:Catalan_numbers
|
| gptkbp:sequence |
gptkb:Central_binomial_coefficients
|
| gptkbp:usedIn |
gptkb:binomial_theorem
gptkb:probability_theory analysis number theory algebraic combinatorics combinatorial identities enumeration of lattice paths |
| gptkbp:bfsParent |
gptkb:OEIS_A001844
|
| gptkbp:bfsLayer |
8
|