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Number of alternating permutations on 2n letters that avoid a certain pattern of length 4 (see Lewis, 2012, Appendix, for precise definition).
0

%I #14 Feb 19 2018 18:16:10

%S 1,4,29,292,3620,51866,827415,14350467,266218320

%N Number of alternating permutations on 2n letters that avoid a certain pattern of length 4 (see Lewis, 2012, Appendix, for precise definition).

%H Andrew R. Conway, Anthony J. Guttmann, Paul Zinn-Justin, <a href="https://arxiv.org/abs/1709.01248">1324-avoiding permutations revisited</a> arXiv:1709.01248 [math.CO], 2017.

%H J. B. Lewis, <a href="https://dspace.mit.edu/handle/1721.1/73444">Pattern Avoidance for Alternating Permutations and Reading Words of Tableaux</a>, Ph. D. Dissertation, Department of Mathematics, MIT, 2012.

%Y Cf. A181197, A217799-A217830.

%K nonn,more

%O 1,2

%A _N. J. A. Sloane_, Oct 12 2012

%E a(7)-a(9) from _Lars Blomberg_, Feb 17 2018