Definition:Fleenor-Heronian Triangle/Sequence

Definition
The sequence of Fleenor-Heronian triangles begins:


 * $\paren {1, 2, 3}$
 * $\paren {3, 4, 5}$
 * $\paren {13, 14, 15}$
 * $\paren {51, 52, 53}$
 * $\paren {193, 194, 195}$
 * $\paren {723, 724, 725}$
 * $\paren {2701, 2702, 2703}$
 * $\paren {10 \, 083, 10 \, 084, 10 \, 085}$
 * $\paren {37 \, 633, 37 \, 634, 37 \, 635}$