English

Generalized Rascal Triangles

History and Overview 2019-07-30 v2 Combinatorics Number Theory

Abstract

The Rascal Triangle was introduced by three middle school students in 2010, and in this paper we describe number triangles that are generalizations of the Rascal Triangle and show that these Generalized Rascal Triangles are characterized by arithmetic sequences on all diagonals as well as a Rascal-like multiplication and addition rules.

Keywords

Cite

@article{arxiv.1907.11159,
  title  = {Generalized Rascal Triangles},
  author = {Philip K. Hotchkiss},
  journal= {arXiv preprint arXiv:1907.11159},
  year   = {2019}
}
R2 v1 2026-06-23T10:30:59.561Z