Counting occurrences of 3412 in an involution

Details Counting occurrences of 3412 in an involution Counting occurrences of 3412 in an involution

2004-01-18

arxiv.org/abs/math/0401218v1

Mathematics

Combinatorics

12 pages, 4 figures

Scientific paper

We study the generating function for the number of involutions on $n$ letters
containing exactly $r\gs0$ occurrences of 3412. It is shown that finding this
function for a given $r$ amounts to a routine check of all involutions on
$2r+1$ letters.

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