On the problem of Molluzzo for the modulus 4
Résumé
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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