centered decagonal number (Q8767): Difference between revisions

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Revision as of 21:40, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,371 edits ‎Created a new Item: centered decagonal number, subclass of centered polygonal number		Latest revision as of 21:44, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 132,371 edits ‎Changed claim: defining formula (P333): C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^2-5n+1
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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: 10
		Property / instance of: centered polygonal number / qualifier
			follows: centered nonagonal number
		Property / defining formula
			${\displaystyle C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^{2}-5n+1}$ C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^2-5n+1
		Property / defining formula: ${\displaystyle C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^{2}-5n+1}$ / rank
			Normal rank
		Property / defining formula: ${\displaystyle C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^{2}-5n+1}$ / qualifier
			in defining formula: ${\displaystyle n\geq {1},n\in \mathbb {N} }$ n\geq {1},n\in \mathbb {N}
		Property / defining formula: ${\displaystyle C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^{2}-5n+1}$ / qualifier
			criterion used: centered polygonal number

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Latest revision as of 21:44, 12 May 2023

subclass of centered polygonal number

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

Statements

instance of

centered polygonal number

series ordinal

10

follows

centered nonagonal number

0 references

defining formula

${\displaystyle C_{k,n}={\frac {k}{2}}n(n-1)+1=5n^{2}-5n+1}$

in defining formula

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

criterion used

centered polygonal number

0 references

 

Sitelinks

⧼wikibase-sitelinks-mywikigroup⧽(0 entries)

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