English

Ulam-Warburton Automaton - Counting Cells with Quadratics

Combinatorics 2019-02-12 v2

Abstract

This paper is about a sequence of quadratic functions that enumerate the total number of ON cells up to and including generation nn of the Ulam-Warburton cellular automaton, where nn has the form nm=m2kn_m=m\cdot2^k

Keywords

Cite

@article{arxiv.1901.10565,
  title  = {Ulam-Warburton Automaton - Counting Cells with Quadratics},
  author = {Mike Warburton},
  journal= {arXiv preprint arXiv:1901.10565},
  year   = {2019}
}

Comments

4 pages, 1 figure, 1 table