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The extended Frobenius problem for Lucas series incremented by a Lucas number
Abstract
We study the extended Frobenius problem for sequences of the form {la} ∪ {la + ln}n∈N and {la + ln}n∈N, where {ln}n∈N is the Lucas series and la is a Lucas number. As a consequence, we show that the families of numerical semigroups associated to both sequences satisfy the Wilf’s conjecture.
