Hexagonal numbers

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf Figurate number
gptkbp:differenceBetweenTerms 4n
gptkbp:first_terms 1
120
15
28
45
6
66
91
gptkbp:form n(2n-1)
https://www.w3.org/2000/01/rdf-schema#label Hexagonal numbers
gptkbp:OEIS A000384
gptkbp:property The nth hexagonal number is the (2n-1)th triangular number
Every hexagonal number is a triangular number
The difference between consecutive hexagonal numbers increases by 4 each time
The sum of the reciprocals of the hexagonal numbers converges
The only number that is both square and hexagonal is 1
gptkbp:relatedTo gptkb:Triangular_numbers
gptkbp:sequence Integer sequence
gptkbp:shape gptkb:Hexagon
gptkbp:bfsParent gptkb:Polygonal_numbers
gptkbp:bfsLayer 7