English

Binomial collisions and near collisions

Number Theory 2017-10-16 v2

Abstract

We describe efficient algorithms to search for cases in which binomial coefficients are equal or almost equal, give a conjecturally complete list of all cases where two binomial coefficients differ by 1, and give some identities for binomial coefficients that seem to be new.

Keywords

Cite

@article{arxiv.1707.06893,
  title  = {Binomial collisions and near collisions},
  author = {Aart Blokhuis and Andries Brouwer and Benne de Weger},
  journal= {arXiv preprint arXiv:1707.06893},
  year   = {2017}
}

Comments

7 pages

R2 v1 2026-06-22T20:53:57.806Z