A001405

URI: https://gptkb.org/entity/A001405
GPTKB entity
Statements (41)
Predicate Object
gptkbp:instanceOf gptkb:integer_sequence
gptkbp:author gptkb:N._J._A._Sloane
gptkbp:eighteenth_term 129644790
gptkbp:eighth_term 429
gptkbp:eleventh_term 16796
gptkbp:fifteenth_term 2674440
gptkbp:fifthBook 14
gptkbp:first_terms 1
gptkbp:form C(n) = (2n)! / ((n+1)! n!)
C(n) = binomial(2n, n)/(n+1)
gptkbp:fourteenth_term 742900
gptkbp:fourthPlace 5
gptkbp:hasKeyword easy
nice
core
full
nonn
fini
gptkbp:nineteenth_term 477638700
gptkbp:ninth_term 1430
gptkbp:OEIS gptkb:A001405
https://oeis.org/A001405
gptkbp:recurrence C(0) = 1, C(n+1) = sum_{i=0..n} C(i)*C(n-i)
gptkbp:relatedTo gptkb:combinatorics
gptkb:Dyck_paths
parenthesizations
binary trees
non-crossing partitions
gptkbp:sequence gptkb:Catalan_numbers
gptkbp:seventeenth_term 35357670
gptkbp:seventhBook 132
gptkbp:sixteenth_term 9694845
gptkbp:sixthBook 42
gptkbp:tenth_term 4862
gptkbp:thirdPlace 2
gptkbp:thirteenth_term 208012
gptkbp:twelfth_term 58786
gptkbp:twentieth_term 1767263190
gptkbp:bfsParent gptkb:OEIS_A007318
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label A001405