cp's OEIS Frontend

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.

A378072 Number of elements in the completion of the Bruhat order on B_n.

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%I A378072 #37 May 16 2025 14:36:42
%S A378072 1,2,10,132,4824,493600,142343254
%N A378072 Number of elements in the completion of the Bruhat order on B_n.
%C A378072 Lascoux and Schützenberger have shown that the completion of type B Bruhat order is distributive, and have described its irreducible elements. It follows that a(n) is the number of antichains in the poset of irreducible elements of the Bruhat order on B_n.
%C A378072 This sequence is a type B analog of A005130, since ASMs form a lattice isomorphic to the completion of type A Bruhat order.
%H A378072 A. Lascoux and M.-P. Schützenberger, <a href="https://doi.org/10.37236/1285">Treillis et bases des groupes de Coxeter</a>, Electron. J. Combin. 3 (1996), #R27.
%Y A378072 Cf. A005130 (ASMs), A005158 (centrally symmetric ASMs), A000165 (number of elements in B_n).
%K A378072 nonn,more
%O A378072 0,2
%A A378072 _Ludovic Schwob_, Nov 16 2024
%E A378072 a(6) by _Dmitry I. Ignatov_, May 16 2025