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math.NT2026
Arithmetic Properties Satisfied by a Recent Integer Partition Function of Dombos
Robson da Silva, James A. Sellers
In recent work of Dombos, the set of integer partitions of wherein the parts are either divisible by 4 or congruent to arose in a natural way. In this work, we…
math.NT2017
On a four-parameters generalization of some special sequences
Robson da Silva, Kelvin S. de Oliveira, Almir C. G. Neto
We introduce a new four-parameters sequence that simultaneously generalizes some well-known integer sequences, including Fibonacci, Padovan, Jacobsthatl, Pell, and Lucas numbers. C…