A permutation pattern that illustrates the strong law of small numbers

Details A permutation pattern that illustrates the strong law of small numbers A permutation pattern that illustrates the strong law of small numbers

2011-11-27

arxiv.org/abs/1111.6297v1

Mathematics

Combinatorics

4 pages, 1 figure

Scientific paper

We obtain an explicit formula for the number of permutations of [n] that
avoid the barred pattern bar{1}43bar{5}2. A curious feature of its counting
sequence, 1, 1, 2, 5, 14, 43, 145, 538, 2194,..., is that the displayed terms
agree with A122993 in the On-Line Encyclopedia of Integer Sequences, but the
two sequences diverge thereafter.

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