(asked by Shanzhen Gao, shanzhengao at yahoo.com, on the Q&A board at JMM)
Does there exist an infinite integer, monotonically increasing sequence soof integers $\{ a_n \}_{n \geq 0}$ such that for any $n$, the three consecutive integers form$(a_n, a_{n+1}, a_{n+2})$ are the side lengths of a plane triangle with integer area?
[Ed: please retag appropriately]
