Jim Propp, Adam Propp-Gubin
Published 2024-09-25, updated 2024-10-25Version 2
We give a formula for counting the triangles in a picture consisting of the three sides of a triangle and some cevians. This lets us prove statements that are claimed without proof in the Online Encyclopedia of Integer Sequences and some popular YouTube videos, and also prove some new results. We also give formulas that apply when the cevians cut each side into equal-length pieces.
Comments: 11 pages. To appear in the Pi Mu Epsilon Journal in 2025
Integer sequences and matrices over finite fields
The On-Line Encyclopedia of Integer Sequences
Some integer sequences based on derangements
![QR code for arXiv:2409.17117 [math.CO]](http://oss.arxitics.com/images/favicon.svg)