Talk:Central binomial coefficient
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Useful Bounds
[edit]I added a simple lower bound to the page. It's not the most accurate, but it's elegant, easy to prove, and it's a lot better than the bound used for the proof of Bertrand's postulate. A proof of this bound (aside from Stirling's formula) can be found at http://foolproof.pbwiki.com/Central+Binomial+Coefficient+Minimum . -Xylune (talk) 06:19, 4 August 2008 (UTC)
And I just finished proving an upper bound and have added this as well. http://foolproof.pbwiki.com/Central+Binomial+Coefficient+Maximum -Xylune (talk) 22:14, 4 August 2008 (UTC)
Added a pair of bounds more precise than the first pair. See the website above for proofs. -Xylune (talk) 05:47, 8 August 2008 (UTC)
Improving notation
[edit]For
can we write
instead. It's not as intuitive as from , but does eliminate the double minus.