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Permutations of a multiset avoiding permutations of length 3. (English) Zbl 0988.05005
A sequence of numbers \(\alpha =(a_{1},\dots ,a_{m})\) is contained in a sequence of numbers \(\beta =(b_{1},\dots ,b_{n})\) if there is a subsequence \((b_{i_{1}},\dots,b_{i_{m}})\), \(i_{1}<\dots <i_{m},\) so that \(a_{s}\leq a_{t}\) iff \(b_{i_{s}}\leq b_{i_{t}}.\) In the paper the permutations of a multiset which do not contain certain subsequences of length \(3\) are considered, in many cases an enumeration of such permutations is given.

05A05 Permutations, words, matrices
05A15 Exact enumeration problems, generating functions
Full Text: DOI
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