Amelia Gibbs, Brian K. Miceli
Published 2024-05-17Version 1
The main goal of this paper is to assign two combinatorial interpretations to the elements of the Rascal Triangle defined by Angorro et al. The first interpretation involves counting ascents in binary words, while the second interpretation involves pattern avoidance in the ascent sequences studied by Duncan and Steingr\'imsson, and related directly to a more recent paper by Baxter and Pudwell.
Fast Computation of the Arnold Complexity of Length $2^{n}$ Binary Words
(2+2)-free posets, ascent sequences and pattern avoiding permutations
Proof of a bi-symmetric septuple equidistribution on ascent sequences
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