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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.

A330039 Number of essential lattice congruences of the weak order on the symmetric group S_n.

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%I A330039 #16 Jun 22 2020 06:56:49
%S A330039 1,1,4,47,3322,11396000
%N A330039 Number of essential lattice congruences of the weak order on the symmetric group S_n.
%H A330039 Hung Phuc Hoang, Torsten Mütze, <a href="https://arxiv.org/abs/1911.12078">Combinatorial generation via permutation languages. II. Lattice congruences</a>, arXiv:1911.12078 [math.CO], 2019.
%H A330039 V. Pilaud and F. Santos, <a href="https://arxiv.org/abs/1711.05353">Quotientopes</a>, arXiv:1711.05353 [math.CO], 2017-2019; Bull. Lond. Math. Soc., 51 (2019), no. 3, 406-420.
%e A330039 For n=3, the weak order on S_3 has the cover relations 123<132, 123<213, 132<312, 213<231, 312<321, 231<321, and there are a(3)=4 essential lattice congruences, namely {}, {132=312}, {213=231}, {132=312,213=231}.
%Y A330039 Cf. A091687, A001246, A052528, A024786, A123663, A330040, A330042.
%K A330039 nonn,hard,more
%O A330039 1,3
%A A330039 _Torsten Muetze_, Nov 28 2019