OEIS A000984

URI: https://gptkb.org/entity/OEIS_A000984

GPTKB entity

Predicate	Object
gptkbp:instanceOf	integer sequence
gptkbp:application	Probability Combinatorics Lattice path counting
gptkbp:author	gptkb:N._J._A._Sloane
gptkbp:citation	gptkb:OEIS_A007318 gptkb:Concrete_Mathematics_by_Graham,_Knuth,_Patashnik gptkb:Handbook_of_Mathematical_Functions_by_Abramowitz_and_Stegun gptkb:OEIS_A001047 gptkb:OEIS_A001405
gptkbp:describes	Central binomial coefficients: binomial(2n, n).
gptkbp:eighth_term	3432
gptkbp:fifthBook	70
gptkbp:first_terms	2 1
gptkbp:form	C(2n, n) = (2n)! / (n!)^2
gptkbp:fourthPlace	20
gptkbp:generating_function	1/sqrt(1-4x)
gptkbp:hasKeyword	nonn, easy, nice
https://www.w3.org/2000/01/rdf-schema#label	OEIS A000984
gptkbp:name	gptkb:Central_binomial_coefficients
gptkbp:ninth_term	12870
gptkbp:OEIS	A000984
gptkbp:offset	0
gptkbp:recurrence	a(n) = 2(2n-1)a(n-1)/n, a(0)=1
gptkbp:relatedConcept	gptkb:Binomial_theorem gptkb:Pascal's_triangle gptkb:Catalan_numbers
gptkbp:sequence	1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620, ...
gptkbp:seventhBook	924
gptkbp:sixthBook	252
gptkbp:tenth_term	48620
gptkbp:thirdPlace	6
gptkbp:bfsParent	gptkb:OEIS_A001349
gptkbp:bfsLayer	7