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.
%I A354496 #9 Sep 11 2022 09:30:46 %S A354496 1,2,9,60,497,4968,58507,807338,13341730 %N A354496 Number of left-sided quantales on n elements, up to isomorphism. Also number of right-sided quantales on n elements, up to isomorphism. %C A354496 For definition of quantale see A354493. %C A354496 A quantale is left-sided if every element x satisfies T * x <= x, and right-sided if every element x satisfies x * T <= x. Here T denotes the top element of the underlying lattice. %C A354496 Transposition of the semigroup table yields a bijection between left-sided and right-sided quantales, so this sequence counts either type. %D A354496 P. Eklund, J. G. García, U. Höhle, and J. Kortelainen, (2018). Semigroups in complete lattices. In Developments in Mathematics (Vol. 54). Springer Cham. %D A354496 K. I. Rosenthal, Quantales and their applications. Longman Scientific and Technical, 1990. %D A354496 Arman Shamsgovara, A catalogue of every quantale of order up to 9 (abstract), LINZ2022, 39th Linz Seminar on Fuzzy Set Theory, Linz, Austria. %Y A354496 Cf. A354493. %K A354496 nonn,more %O A354496 1,2 %A A354496 _Arman Shamsgovara_, Aug 03 2022