A055593 Second longest side of congruent triangles with integer sides and positive integer area, ordered by longest side, then second longest side and finally shortest side.

4, 5, 5, 8, 10, 12, 13, 12, 13, 14, 10, 10, 15, 17, 15, 13, 15, 16, 17, 20, 13, 15, 20, 17, 20, 24, 25, 24, 25, 25, 26, 25, 21, 25, 17, 24, 25, 25, 26, 28, 29, 20, 20, 30, 34, 28, 29, 34, 29, 30, 20, 26, 30, 35, 37, 25, 28, 34, 35, 36, 39, 25, 26, 29, 30, 32, 37, 39, 28, 40