centered heptagonal number (Q8764): Difference between revisions

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Revision as of 21:39, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 145,891 edits ‎Created a new Item: centered heptagonal number, subclass of centered polygonal number		Latest revision as of 21:49, 12 May 2023 Fire (talk | contribs) Bureaucrats, Interface administrators, Administrators 145,891 edits ‎Created claim: defining formula (P333): {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}
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		Property / subclass of
			centered polygonal number
		Property / subclass of: centered polygonal number / rank
			Normal rank
		Property / subclass of: centered polygonal number / qualifier
			series ordinal: 7
		Property / subclass of: centered polygonal number / qualifier
			follows: centered hexagonal number
		Property / subclass of: centered polygonal number / qualifier
			followed by: centered octagonal number
		Property / defining formula
			${\displaystyle {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}}$ {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}
		Property / defining formula: ${\displaystyle {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}}$ / rank
			Normal rank
		Property / defining formula: ${\displaystyle {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}}$ / qualifier
			criterion used: centered polygonal number
		Property / defining formula: ${\displaystyle {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}}$ / 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 21:49, 12 May 2023

subclass of centered polygonal number

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

Statements

subclass of

centered polygonal number

series ordinal

7

follows

centered hexagonal number

followed by

centered octagonal number

0 references

defining formula

${\displaystyle {\displaystyle C_{7,n}={\frac {7}{2}}n(n-1)+1={{7n^{2}-7n+2} \over 2}}}$

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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