On the problem of Molluzzo for the modulus 4

Abstract

We solve the currently smallest open case in the 1976 problem of Molluzzo on $\mathbb{Z}/m\mathbb{Z}$, namely the case $m=4$. This amounts to constructing, for all positive integer $n$ congruent to $0$ or $7\mathrm{mod}8$, a sequence of integers modulo $4$ of length $n$ generating, by Pascal's rule, a Steinhaus triangle containing $0,1,2,3$ with equal multiplicities.

12 pages ; 3 figures ; 3 tables, Integers : Electronic Journal of Combinatorial Number Theory, State University of West Georgia, Charles University, and DIMATIA, 2012, 12, pp.A18

Cited by in corpus (2)

• Balanced simplices
• Symmetric binary Steinhaus triangles and parity-regular Steinhaus graphs