I've been trying and trying... but there does not seem to be three
Number Theory
Level
5
Consider the expression \(\sqrt {\frac {(n+1)(2n+1)}{6}}\).
For some whole numbers \(n\), the expression is also a whole number. Let the three smallest such whole numbers be \(a_{1}, a_{2}, a_{3}\). Find the value of \(\sum_{i=1}^3 a_{i}\).
by
Joel Tan