A058131 Number of isomorphism classes of commutative monoids (commutative semigroups with identity) of order n.

0, 1, 2, 5, 19, 78, 421, 2637, 20486, 246458, 11833361

Offset

0,3

Links

Table of n, a(n) for n=0..10.

Remigiusz Durka and Kamil Grela, On the number of possible resonant algebras, arXiv:1911.12814 [hep-th], 2019.

Nicholas Johnston, Edmond W. H. Lee, and Vehbi E. Paksoy, Uniqueness of the smallest chameleon in the class of monoids, Examples and Counterexamples (2025) Vol. 8, Art. 100209.

Eric Postpischil, Posting to sci.math newsgroup, May 21 1990.

Eric Weisstein's World of Mathematics, Commutative Monoid.

Eric Weisstein's World of Mathematics, Additive Cellular Automaton.

Stephen Wolfram, A New Kind of Science, Wolfram Media (2002) p. 952.

Index entries for sequences related to monoids

Crossrefs

Row sums of A058142.

Cf. A001426, A058129, A058155 (labeled).

Sequence in context: A150026 A150027 A277969 * A222055 A228569 A204328

Adjacent sequences: A058128 A058129 A058130 * A058132 A058133 A058134

Keyword

nonn,more

Author

Christian G. Bower, Nov 13 2000

Extensions

a(0) prepended by Jianing Song, Oct 26 2019

a(8) and a(9) from Alex Meiburg, Oct 20 2021

a(10) from Andrew Howroyd, Feb 15 2022

Status

approved