A030453 - OEIS

A030453

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

%I #20 Jun 13 2022 07:20:55

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

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

%H R. Belohlavek and V. Vychodil, <a href="https://doi.org/10.1007/s11083-010-9143-7">Residuated Lattices of Size <= 12</a>. Order 27, 147-161 (2010), Table 2.

%H R. Belohlavek, V. Vychodil, <a href="https://math.chapman.edu/~jipsen/finitestructures/cirl/reslat12.pdf">Residuated lattices of size <= 12, Extended version</a>

%H <a href="/index/Mo#monoids">Index entries for sequences related to monoids</a>

%K nonn,hard,nice

%O 1,3

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