\begin{definition}[Definition:Fleenor-Heronian Triangle/Sequence]
The sequence of Fleenor-Heronian triangles begins:
:$\paren {1, 2, 3}$
:$\paren {3, 4, 5}$
:$\paren {13, 14, 15}$
:$\paren {51, 52, 53}$
:$\paren {193, 194, 195}$
:$\paren {723, 724, 725}$
:$\paren {2701, 2702, 2703}$
:$\paren {10 \, 083, 10 \, 084, 10 \, 085}$
:$\paren {37 \, 633, 37 \, 634, 37 \, 635}$
Category:Definitions/Fleenor-Heronian Triangles
\end{definition}