The number of \bar{2}413\bar{5}-avoiding permutations

Details The number of \bar{2}413\bar{5}-avoiding permutations The number of \bar{2}413\bar{5}-avoiding permutations

2011-10-31

arxiv.org/abs/1110.6884v3

Mathematics

Combinatorics

4 pages, typos corrected, slightly improved exposition

Scientific paper

We answer a question of R. J. Mathar and confirm that the counting sequence
for $\bar{2}413\bar{5}$-avoiding permutations is the Invert transform of the
Bell numbers. The proof relies on a simple decomposition of these permutations
and the known fact that $\bar{2}413$-avoiding permutations are counted by the
Bell numbers.

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