Anyone See the Pattern?

Pattern in a sequence of numbers

Keyvan Nayyeri — Sun, 16 Jul 2006 09:13:02 GMT

YesterdayJayson Knight had pointed to a pattern in sequence of odd numbers and had written a code to

Best of JaysonKnight.com -- Happy New Year!

protected virtual void jaysonBlog { — Fri, 30 Dec 2005 09:39:00 GMT

One thing that really bugs me about blogs is that it&rsquo;s still really damn hard to find specific...

re: Anyone See the Pattern?

Jayson Knight — Sat, 22 Oct 2005 09:27:12 GMT

And of course there's a Wiki on the triangular number series: http://en.wikipedia.org/wiki/Triangular_number

Pattern in a sequence of numbers

Keyvan Nayyeri — Fri, 21 Oct 2005 20:15:22 GMT

Yesterday&nbsp;Jayson Knight had pointed to a pattern in sequence of odd numbers and had written a code...

re: Anyone See the Pattern?

Haacked — Fri, 21 Oct 2005 18:12:11 GMT

I think I answered your question better in my latest post (http://haacked.com/archive/2005/10/21/10910.aspx). I try and explain WHY your formula gets the triangular series. It's an algebraic identity.

re: Anyone See the Pattern?

Haacked — Fri, 21 Oct 2005 16:49:22 GMT

Well my proof is true in all cases where x is an odd integer. The same is not true for n being even. I wrote more on the Triangular series in the comments of my post. The pattern you see is a consequence of the triangular series as the commenter said. Check out this... http://ptri1.tripod.com/ Scroll down to triangular numbers. See how they are a part of Pascal's triangle? Interesting eh?

Several replies!

Keyvan Nayyeri — Fri, 21 Oct 2005 16:35:24 GMT

Well! 1- About your pattern: You've been hacked proved it but I'm looking for a way to prove his proof is true in all cases or give another proof. 2- I haven't use EiffelEnvision yet but try to check it asap. Thank you for references. 3- Maryam Ghaemmaghami (Scoble's wife) is Iranian and live in US. I don't like to check the stats of my website. Sometimes I use an application (It uses IIS logs) to check my referrers and total hits. It has good details. For my blog I think that the number of hits are depend on my posts so try to write better. Although I don't write to get better traffics. But thank you for StatsCounter it's a great website ;) On the other hand if you read my last posts I analyze the traffic with some statistical methods (Time Series) and they are absolutely better than this kind of stats. 4- This comment: http://nayyeri.net/archive/2005/10/08/207.aspx#238 beat me to give this link if you want to use GTalk with Trillian (Pro version): http://www.google.com/support/talk/bin/answer.py?answer=24077&topic=1415

re: Anyone See the Pattern?

Aaron Robinson — Fri, 21 Oct 2005 11:48:43 GMT

More info here: http://mathworld.wolfram.com/TriangularNumber.html

re: Anyone See the Pattern?

Aaron Robinson — Fri, 21 Oct 2005 11:45:55 GMT

I don't know why your formula get the numbers, but that's the triangular number series... http://ptri1.tripod.com/#tri