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 A354497 #7 Sep 11 2022 09:30:58 %S A354497 1,1,4,23,164,1482,15838,197262,2830649 %N A354497 Number of strictly left-sided quantales on n elements, up to isomorphism. Also number of strictly right-sided quantales on n elements, up to isomorphism. %C A354497 For definition of quantale see A354493. %C A354497 A quantale is strictly left-sided if every element x satisfies T * x = x, and strictly right-sided if every element x satisfies x * T = x. Here T denotes the top element of the underlying lattice. %C A354497 Transposition of the semigroup table yields a bijection between strictly left-sided and strictly right-sided quantales, so this sequence counts either type. %D A354497 P. Eklund, J. G. García, U. Höhle, and J. Kortelainen, (2018). Semigroups in complete lattices. In Developments in Mathematics (Vol. 54). Springer Cham. %D A354497 K. I. Rosenthal, Quantales and their applications. Longman Scientific and Technical, 1990. %D A354497 Arman Shamsgovara, A catalogue of every quantale of order up to 9 (abstract), LINZ2022, 39th Linz Seminar on Fuzzy Set Theory, Linz, Austria. %Y A354497 Cf. A354493, A354496. %K A354497 nonn,more %O A354497 1,3 %A A354497 _Arman Shamsgovara_, Aug 03 2022