centered octagonal number (Q8765): Difference between revisions

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Revision as of 21:46, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,454 edits ‎Created claim: instance of (P2): centered polygonal number (Q8768) ← Older edit		Latest revision as of 21:47, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,454 edits ‎Created claim: defining formula (P333): C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^2
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		Property / instance of
			square number
		Property / instance of: square number / rank
			Normal rank
		Property / subclass of
			figurate number
		Property / subclass of: figurate number / rank
			Normal rank
		Property / defining formula
			${\displaystyle C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^{2}}$ C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^2
		Property / defining formula: ${\displaystyle C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^{2}}$ / rank
			Normal rank
		Property / defining formula: ${\displaystyle C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^{2}}$ / qualifier
			criterion used: centered polygonal number
		Property / defining formula: ${\displaystyle C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^{2}}$ / qualifier
			in defining formula: ${\displaystyle n\geq {1},n\in \mathbb {N} }$ n\geq {1},n\in \mathbb {N}

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Latest revision as of 21:47, 12 May 2023

subclass of centered polygonal number

Language	Label	Description	Also known as
English	centered octagonal number	subclass of centered polygonal number

Statements

instance of

centered polygonal number

series ordinal

8

follows

centered heptagonal number

followed by

centered nonagonal number

0 references

square number

0 references

subclass of

figurate number

0 references

defining formula

${\displaystyle C_{8,n}={\frac {8}{2}}n(n-1)+1={(2n-1)}^{2}}$

criterion used

centered polygonal number

in defining formula

${\displaystyle n\geq {1},n\in \mathbb {N} }$

0 references

 

Sitelinks

⧼wikibase-sitelinks-mywikigroup⧽(0 entries)

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