Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:alsoKnownAs |
central binomial coefficients
|
| gptkbp:application |
gptkb:binomial_theorem
probability combinatorics |
| gptkbp:author |
gptkb:N._J._A._Sloane
|
| gptkbp:citation |
gptkb:OEIS_A000108
gptkb:OEIS_A000984 gptkb:OEIS_A007318 |
| gptkbp:first_terms |
2
1 20 252 6 70 924 3432 12870 48620 |
| gptkbp:form |
a(n) = (2n)! / (n!)^2
|
| gptkbp:generatingFunction |
1/sqrt(1-4x)
|
| gptkbp:hasKeyword |
easy
core nonn |
| https://www.w3.org/2000/01/rdf-schema#label |
OEIS A001349
|
| gptkbp:OEIS |
https://oeis.org/A001349
|
| gptkbp:recurrence |
a(n) = 2*(2n-1)*a(n-1)/n, a(0)=1
|
| gptkbp:relatedTo |
gptkb:Catalan_numbers
|
| gptkbp:sequence |
binomial coefficients
non-negative integers |
| gptkbp:sequenceDefinition |
a(n) = binomial(2n, n)
|
| gptkbp:bfsParent |
gptkb:OEIS_A000372
|
| gptkbp:bfsLayer |
6
|