Talk:Square pyramidal number
In all articles found the formula for the square pyramidal number is proofed by using the inductive methode. Isn't there a direct proof? Jon van den Helder
- I thought inductive was direct. An empirical proof (e.g., having a computer calculate the first thousand values using each formula and then having it compare that the lists are all the same) would convince more people, but symbological snobs would look down on it. Anton Mravcek 17:49, 14 July 2006 (UTC)
This article could use some diagrams to illustrate how the numbers are "built" as pyramids. — Gwalla | Talk 22:28, 10 February 2007 (UTC)
I tried making one at Image:Square pyramidal number.svg but my radial gradiants are not looking correct. I'll try to find out what's wrong with the svg coding, but it shouldn't be linked onto the actual article until it looks better. —David Eppstein 23:04, 10 February 2007 (UTC)Done! —David Eppstein 23:30, 10 February 2007 (UTC)
- Nice work! Thanks! — Gwalla | Talk 18:56, 11 February 2007 (UTC)
name
what's wrong with pyramid number? —Preceding unsigned comment added by 208.2.172.2 (talk) 01:05, 3 July 2009 (UTC)
infinite sum
The infinite sum of Tetrahedral numbers reciprocals .
What will be the infinite sum of Square pyramidal number? 46.115.58.82 (talk) 23:49, 12 October 2012 (UTC)
- Try expanding using partial fractions. Ozob (talk) 14:45, 13 October 2012 (UTC)
Expansion
I have an immense amount of experimentally discovered things I could add to "Squares in a Square" which involve different grid shapes and altogether different shapes such as triangles. So much so that I could very easily create a whole other Wikipedia article on it. I would enjoy doing so, but I thought I would get a second opinion. In addition, although my stuff is definitely true, as I said, I figured out this stuff experimentally, so I have nothing to reference but myself. I know that isn't a very good answer, but I could really improve the depth of understanding and knowledge of that topic. I hope you will comment. Frivolous Consultant (talk) 22:56, 17 October 2012 (UTC)
- You need to find a published source for this material if you want to include it here; see Wikipedia:Verifiability and Wikipedia:No original research. In addition, if the solution doesn't involve the same sequence of numbers, it may be a bit off-topic for this article, because this article is not about square-in-square type problems, it's about the sequence of numbers. That doesn't mean it can't be mentioned at all (after all, we do mention the problem of rectangles in a square grid) but it means that it would probably be inappropriate to include much detail. —David Eppstein (talk) 23:01, 17 October 2012 (UTC)