Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Figurate number
|
| gptkbp:application |
gptkb:Number_theory
Combinatorics |
| gptkbp:definedIn |
Numbers that can be arranged in the shape of a regular polygon
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:firstPolygonalNumber |
1
|
| gptkbp:form |
P(s,n) = ((s-2)n^2 - (s-4)n)/2
|
| https://www.w3.org/2000/01/rdf-schema#label |
Polygonal numbers
|
| gptkbp:includes |
gptkb:Heptagonal_numbers
gptkb:Hexagonal_numbers gptkb:Octagonal_numbers gptkb:Pentagonal_numbers gptkb:Triangular_numbers Square numbers |
| gptkbp:OEIS |
gptkb:A000566
|
| gptkbp:property |
Generalization of triangular and square numbers
Each s-gonal number represents a polygon with s sides |
| gptkbp:relatedTo |
gptkb:Centered_polygonal_numbers
|
| gptkbp:sequence |
Integer sequence
|
| gptkbp:studiedBy |
gptkb:Pythagoreans
|
| gptkbp:bfsParent |
gptkb:Pappus_of_Alexandria
|
| gptkbp:bfsLayer |
6
|