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URL: https://oeis.org/A253949

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A253949
Number of finite, negative, Archimedean, totally ordered monoids of size n (semi-groups with a neutral element that is also the top element).
2
1, 1, 1, 2, 8, 44, 333, 3543, 54954, 1297705, 47542371
OFFSET
1,4
COMMENTS
The terms have been computed using the algorithm described in the referenced papers.
LINKS
M. Petrík, Many-Valued Conjunctions. Habilitation thesis, Czech Technical University in Prague, Faculty of Electrical Engineering, Prague, Czech Republic. Submitted in 2020. Available at Czech Technical University Digital Library.
M. Petrík and Th. Vetterlein, Rees coextensions of finite tomonoids and free pomonoids. Semigroup Forum 99 (2019) 345-367. DOI: 10.1007/s00233-018-9972-z.
M. Petrík and Th. Vetterlein, Rees coextensions of finite, negative tomonoids. Journal of Logic and Computation 27 (2017) 337-356. DOI: 10.1093/logcom/exv047.
M. Petrík and Th. Vetterlein, Algorithm to generate finite negative totally ordered monoids. In: IPMU 2016: 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems. Eindhoven, Netherlands, June 20-24, 2016.
M. Petrík and Th. Vetterlein, Algorithm to generate the Archimedean, finite, negative tomonoids. In: Joint 7th International Conference on Soft Computing and Intelligent Systems and 15th International Symposium on Advanced Intelligent Systems. Kitakyushu, Japan, Dec. 3-6, 2014. DOI: 10.1109/SCIS-ISIS.2014.7044822.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Milan Petrík, Jan 20 2015
EXTENSIONS
a(11) from Milan Petrík, May 09 2021
STATUS
approved