Abstract
AbstractWe study the extended Frobenius problem for sequences of the form $$\{f_a+f_n\}_{n\in \mathbb {N}}$$
{
f
a
+
f
n
}
n
∈
N
, where $$\{f_n\}_{n\in \mathbb {N}}$$
{
f
n
}
n
∈
N
is the Fibonacci sequence and $$f_a$$
f
a
is a Fibonacci number. As a consequence of this study, we show that the family of numerical semigroups associated with these sequences satisfies Wilf’s conjecture.
Publisher
Springer Science and Business Media LLC
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