2024/07/31 by Brito, Gilberto, Vieira, Stéfani
#05A15 #05A19 (Secondary) #20M14 (Primary) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2407.21563
In this paper, we study the pure κ-sparse gapsets and our focus on getting information about the sequence observed in Table 3 at [1], this sequence is listed in OEIS as A374773. We verify that the cardinality of the set of gapsets with genus 3n+1 such that the maximum distance between two consecutive elements is 2n is equal to the cardinality of the set of gapsets with genus 3n+2 such that the maximum distance between two consecutive elements is 2n+1, for all n∈ ℕ. In particular, we compute the cardinality of the symmetric and pseudo-symmetric gapsets in these cases.