A Heron sequence is an increasing sequence in which every three consecutive terms are the side lengths of a Heron triangle. A Heron triangle is a triangle with integer sides and integer area.
Paul Yiu, K. R. S. Sastry and Shanzhen Gao, Heron Sequences, presented on the 2007 Integers Conference and INTEGERS - Electronic Journal of Combinatorial Number Theory, Article 16 Volume 9 Supplement (2009).