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arXiv · 1102.2065

On the problem of Molluzzo for the modulus 4

Jonathan Chappelon·Shalom Eliahou
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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 $7 \bmod{8}$, 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.

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Jonathan Chappelon, Shalom Eliahou. 2016-03-30. On the problem of Molluzzo for the modulus 4. https://doi.org/10.1515/integers-2012-0001

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