Is anybody familiar with any theory of integer cevians on equilateral triangles? More specificaly, I was trying to find something about the number of integer cevians that divide the side in integer parts. Like, the eq triangle of side 8 have cevian 7 dividing one side into 3+5. Only reference I found is here https://oeis.org/A089025 Where it examples the triangle of side 280 having cevians "247 partitioning an edge into 93+187, as well as cevian 271 that sections the edge into 19+261." But nothing else online on how to get to these partitions or how many one could find for a specific triangle.