Everything about Centered Octagonal Number totally explained
A
centered octagonal number is a
centered figurate number that represents an
octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers. The centered octagonal number for
n is given by the formula
»
where
T is a regular
triangular number, or much more simply, by squaring the odd numbers:
»
The first few centered octagonal numbers are
1,
9,
25,
49,
81,
121,
169, 225, 289, 361, 441, 529, 625, 729, 841, 961,
1089
All centered octagonal numbers are odd, and in base 10 one can notice the one's digits follow the pattern 1-9-5-9-1.
Calculating
Ramanujan's tau function on a centered octagonal number yields an odd number, whereas for any other number the function yields an even number.
See also regular
octagonal number.
Further Information
Get more info on 'Centered Octagonal Number'.
|
External Link Exchanges
Do you know how hard it is to get a link from a large encyclopaedia? Well we're different and will prove it. To get a link from us just add the following HTML to your site on a relevant page:
<a href="http://centered_octagonal_number.totallyexplained.com">Centered octagonal number Totally Explained</a>
Then simply click through this link from your web page. Our crawlers will verify your link, extract the title of your web page and instantly add a link back to it. If you like you can remove the words Totally Explained and embed the link in article text.
As long as your link remains in place, we'll keep our link to you right here. Please play fair - our crawlers are watching. Your site must be closely related to this one's topic. Any kind of spamming, dubious practises or removing the link will result in your link from us being dropped and, potentially, your whole site being banned. |
