Numerical semigroups with a generator of size 2g+1 are linked to symmetric semigroups and affirm Wilf's question.
Wilf A circle--of--lights algorithm for the money changing problem
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Numerical Semigroups with $a_e = 2g+1$
Numerical semigroups with a generator of size 2g+1 are linked to symmetric semigroups and affirm Wilf's question.