231-Avoiding Involutions and Fibonacci Numbers

Details 231-Avoiding Involutions and Fibonacci Numbers 231-Avoiding Involutions and Fibonacci Numbers

2002-09-19

arxiv.org/abs/math/0209255v1

Mathematics

Combinatorics

9 pages

Scientific paper

We use combinatorial and generating function techniques to enumerate various
sets of involutions which avoid 231 or contain 231 exactly once. Interestingly,
many of these enumerations can be given in terms of $k$-generalized Fibonacci
numbers.

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