Geodesic
On the numerical semigroup generated by $\{b^{n+1+i}+\frac{b^{n+i}-1}{b-1}\mid i\in\mathbb{N}\}$
Diskretnaya Matematika, Tome 32 (2020) no. 2, pp. 3-14

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Let $b, n$ be two positive integers such that $b\geq 2$, and $S(b,n)$ be the numerical semigroup generated by $\{b^{n+1+i}+\frac{b^{n+i}-1}{b-1}\mid i\in\mathbb{N}\}$. Applying two order relations, we give formulas for computing the embedding dimension, the Frobenius number, the type and the genus of $S(b,n)$.
Keywords: Numerical semigroups, Embedding dimension, Frobenius number, Pseudo-Frobenius number, Genus. 
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     title = {On the numerical semigroup generated by $\{b^{n+1+i}+\frac{b^{n+i}-1}{b-1}\mid i\in\mathbb{N}\}$},
     journal = {Diskretnaya Matematika},
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     url = {http://geodesic.mathdoc.fr/item/DM_2020_32_2_a0/}
}
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Ze Gu. On the numerical semigroup generated by $\{b^{n+1+i}+\frac{b^{n+i}-1}{b-1}\mid i\in\mathbb{N}\}$. Diskretnaya Matematika, Tome 32 (2020) no. 2, pp. 3-14. http://geodesic.mathdoc.fr/item/DM_2020_32_2_a0/