Definition:Fleenor-Heronian Triangle/Sequence

Definition

The sequence of Fleenor-Heronian triangles begins:

$\paren {1, 2, 3}$

$\paren {3, 4, 5}$

$\paren {13, 14, 15}$

$\paren {51, 52, 53}$

$\paren {193, 194, 195}$

$\paren {723, 724, 725}$

$\paren {2701, 2702, 2703}$

$\paren {10 \, 083, 10 \, 084, 10 \, 085}$

$\paren {37 \, 633, 37 \, 634, 37 \, 635}$