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arXiv · 2407.21563

A certain sequence on pure $κ-$sparse gapsets

Gilberto Brito·Stéfani Vieira
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Abstract

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 $n\in \mathbb{N}$. In particular, we compute the cardinality of the symmetric and pseudo-symmetric gapsets in these cases.

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Gilberto Brito, Stéfani Vieira. 2024-07-31. A certain sequence on pure $κ-$sparse gapsets. https://arxiv.org/abs/2407.21563

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