centered nonagonal number (Q8766): Difference between revisions

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Revision as of 21:39, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,236 edits ‎Created a new Item: centered nonagonal number, subclass of centered polygonal number		Latest revision as of 21:46, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,236 edits ‎Created claim: defining formula (P333): C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}
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		Property / instance of
			centered polygonal number
		Property / instance of: centered polygonal number / rank
			Normal rank
		Property / instance of: centered polygonal number / qualifier
			series ordinal: 9
		Property / instance of: centered polygonal number / qualifier
			followed by: centered decagonal number
		Property / subclass of
			figurate number
		Property / subclass of: figurate number / rank
			Normal rank
		Property / defining formula
			${\displaystyle C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}}$ C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}
		Property / defining formula: ${\displaystyle C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}}$ / rank
			Normal rank
		Property / defining formula: ${\displaystyle C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}}$ / qualifier
			criterion used: centered polygonal number
		Property / defining formula: ${\displaystyle C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}}$ / 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 21:46, 12 May 2023

subclass of centered polygonal number

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

Statements

instance of

centered polygonal number

series ordinal

9

followed by

centered decagonal number

0 references

subclass of

figurate number

0 references

defining formula

${\displaystyle C_{9,n}={\frac {9}{2}}n(n-1)+1={{9n^{2}-9n+2} \over 2}}$

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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