A formula is derived for the number of orbits of a product of permutation in terms of the number of orbits of the factors and the nullity of a matrix.
Counting Occurrences of 132 in a Permutation
β Scribed by Toufik Mansour; Alek Vainshtein
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 104 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0196-8858
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β¦ Synopsis
We study the generating function for the number of permutations on n letters containing exactly r β₯ 0 occurrences of 132. It is shown that finding this function for a given r amounts to a routine check of all permutations in S 2r .  2002 Elsevier Science (USA)
π SIMILAR VOLUMES
Proving a first nontrivial instance of a conjecture of Noonan and Zeilberger we Ε½ . show that the number S n of permutations of length n containing exactly r r subsequences of type 132 is a P-recursive function of n. We show that this remains true even if we impose some restrictions on the permutati