On the problem of Molluzzo for the modulus 4

Details On the problem of Molluzzo for the modulus 4 On the problem of Molluzzo for the modulus 4

2011-02-10

arxiv.org/abs/1102.2065v1

Mathematics

Combinatorics

12 pages, 3 figures, 1 table

Scientific paper

We solve the currently smallest open case in the 1976 problem of Molluzzo on
$\Z{m}$, namely the case $m=4$. This amounts to constructing, for all positive
integer $n$ congruent to 0 or 7 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.

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