A030453 Number of linearly ordered Abelian monoids of size n (semigroups with greatest element of the corresponding chain as neutral element); triangular norms on an n-chain.

1, 1, 2, 6, 22, 94, 451, 2386, 13775, 86417, 590489, 4446029, 37869449, 382549464

Offset

1,3

Links

Table of n, a(n) for n=1..14.

R. Belohlavek and V. Vychodil, Residuated Lattices of Size <= 12. Order 27, 147-161 (2010), Table 2.

R. Belohlavek and V. Vychodil, Residuated lattices of size <= 12, Extended version

Index entries for sequences related to monoids

G. Badia, R. Monego, C. Noguera, G. Sciavicco, A. Paparella; "Generating and counting finite FLew-chains." 2025 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE, 2025;

Crossrefs

Sequence in context: A380394 A109317 A109153 * A001861 A049526 A187251

Adjacent sequences: A030450 A030451 A030452 * A030454 A030455 A030456

Keyword

nonn,hard,nice

Author

Bernard De Baets (Bernard.DeBaets(AT)rug.ac.be)

Status

approved