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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A308750 Number of Dumont permutations of the first kind of length 2n avoiding pattern 2143 (or pattern 3421).

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%I A308750 #11 Jun 24 2019 04:38:09
%S A308750 1,1,2,7,36,239,1892,17015,168503,1799272,20409644
%N A308750 Number of Dumont permutations of the first kind of length 2n avoiding pattern 2143 (or pattern 3421).
%C A308750 Conjecture: The number of Dumont permutations of the first kind avoiding pattern 2143 equals the number of Dumont permutations of the first kind avoiding pattern 3421 for all n >= 0.
%C A308750 Data for n=7,8,9,10 is due to _Michael Albert_.
%D A308750 O. Jones, Enumeration of Dumont permutations avoiding certain four-letter patterns, Ph.D. thesis, Howard University, 2019.
%H A308750 D. Dumont, <a href="http://dx.doi.org/10.1215/S0012-7094-74-04134-9">Interprétations combinatoires des nombres de Genocchi</a>, Duke Math. J., 41 (1974), 305-318.
%e A308750 For n=3, the 7 Dumont permutations of the first kind avoiding pattern 2143 are 356421, 364215, 435621, 563421, 564213, 634215, 642135, and the 7 Dumont permutations of the first kind avoiding pattern 3421 are 214365, 216435, 421365, 421563, 421635, 621435, 642135.
%Y A308750 Cf. A001469, A110501.
%K A308750 nonn,more
%O A308750 0,3
%A A308750 _Alexander Burstein_ and _Opel Jones_, Jun 21 2019