Comptes Rendus
Combinatorics, Number theory
The Frobenius number associated with the number of representations for sequences of repunits
Takao Komatsu1 
1Department of Mathematical Sciences, School of Science, Zhejiang Sci-Tech University, Hangzhou 310018 China
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 73-89

The generalized Frobenius number is the largest integer represented in at most p ways by a linear combination of nonnegative integers of given positive integers a 1 ,a 2 ,⋯,a k . When p=0, it reduces to the classical Frobenius number. In this paper, we give the generalized Frobenius number when a j =(b n+j-1 -1)/(b-1) (b≥2) as a generalization of the result of p=0 in [16].

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DOI: 10.5802/crmath.394
Classification: 11D07, 05A15, 05A17, 05A19, 11B68, 11D04, 11P81

Takao Komatsu  1

1 Department of Mathematical Sciences, School of Science, Zhejiang Sci-Tech University, Hangzhou 310018 China
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
Takao Komatsu. The Frobenius number associated with the number of representations for sequences of repunits. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 73-89. doi: 10.5802/crmath.394
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