The Enumeration of Permutations With a Prescribed Number of ``Forbidden'' Patterns

Details The Enumeration of Permutations With a Prescribed Number of ``Forbidden'' Patterns The Enumeration of Permutations With a Prescribed Number of ``Forbidden'' Patterns

1998-08-17

arxiv.org/abs/math/9808080v1

Advances in Applied Mathematics 17 (1996), 381-407

Mathematics

Combinatorics

AMSTeX

Scientific paper

We initiate a general approach for the fast enumeration of permutations with
a prescribed number of occurrences of `forbidden' patterns, that seems to
indicate that the enumerating sequence is always P-recursive. We illustrate the
method completely in terms of the patterns `abc',`cab' and `abcd'.

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