A001405

URI: https://gptkb.org/entity/A001405

GPTKB entity

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