English

A Digital Binomial Theorem

Number Theory 2014-12-11 v1

Abstract

We present a triangle of connections between the Sierpinski triangle, the sum-of-digits function, and the Binomial Theorem via a one-parameter family of Sierpinski matrices, which encodes a digital version of the Binomial Theorem.

Cite

@article{arxiv.1412.3181,
  title  = {A Digital Binomial Theorem},
  author = {Hieu D. Nguyen},
  journal= {arXiv preprint arXiv:1412.3181},
  year   = {2014}
}

Comments

5 pages

R2 v1 2026-06-22T07:26:00.310Z