Thursday, 5 March 2015

Three different examples of three consecutive triangular numbers whose sum is a perfect square for n > or equal to 20

Three different examples of three consecutive triangular numbers whose sum is a perfect square for n > or equal to 20. (In other words their sum must be greater than or equal to 400 and must be a perfect square).



I can use a program such as maple to write a script for it but I don't know where to even begin.



Using Joffan's suggestion I wrote out



12j(j+1)+12k(k+1)+12l(l+1)=m2




I am just not certain how I can translate this into maple's input language.

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