Talk:Square pyramidal number: Difference between revisions

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[[User:Bill01568|Bill01568]] ([[User talk:Bill01568|talk]]) 16:29, 30 December 2013 (UTC)
:Seems reasonable, [[File:Yes check.svg|20px|link=|alt=]] '''Done'''<!-- Template:ESp -->. ''<b style="font-variant:small-caps;">[[User:Little Mountain 5|<font color="black">Little</font>]][[User talk:Little Mountain 5|<font color="red">Mountain</font>]][[Special:Contribs/Little Mountain 5|<font color="#00008B">5</font>]]</b>'' 22:35, 30 December 2013 (UTC)
 
== Simplification of the current proof ==
 
It seems that current proof given in the article could be simplified by using <math>1^2+2^2+\ldots+n^2=1+2+2+3+3+3+\ldots+n+n+\ldots+n</math> instead of <math>1^2+2^2+\ldots+n^2=(2n-1)+(2n-3)+(2n-3)+\ldots+1+1+\ldots+1</math>, with sum of the column still being <math>2n+1</math>. Unfortunately, I really can't be bothered to find citations for this proof. Fortunately, there are no citations for the current proof as well, so changing it won't make it worse. Opinions?
[[User:MYXOMOPbI4|MYXOMOPbI4]] ([[User talk:MYXOMOPbI4|talk]]) 03:51, 7 September 2017 (UTC)