Talk:Centered hexagonal number

The difference between (2n)² and the nth centered hexagonal number is a number of the form 3n² + 3n − 1, - is this statement correct?--Booradleyp (talk) 11:22, 31 December 2011 (UTC)

Testing / finding the root

This formula will work to find the root of a centered hexagonal number, would it be useful to add to the article?

$n={\frac {1}{2}}\left({{\sqrt {8\times {\frac {x-1}{6}}+1}}+1}\right)$

Where x is the hexagonal number and n is the root to be found. Dobz116 (talk) 11:25, 29 August 2011 (UTC)

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Agree its useful to add a method of calculating the root, I added this before seeing the talk page, using the following formula:

$n={{3+{\sqrt {9-12(1-x)}}} \over 6}$

which has fewer operations than the example you've given Ideasman42 (talk) 04:06, 13 August 2017 (UTC)

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