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math.NT2025
Values of Ducci Periods for Sequences on
Mark L. Lewis, Shannon M. Tefft
Let be defined so that \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] W…
math.NT2025
Examining -Closed Ducci Sequences on
Mark L. Lewis, Shannon M. Tefft
Let be an endomorphism on so that \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] We call…
math.NT2024
The Maximum Length for Ducci Sequences on when is Even
Mark L. Lewis, Shannon M. Tefft
Let be defined so \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] is…