A343140 Number of submonoids of the monoid of maps from an n-element set to itself.

1, 6, 699, 1581416926

Offset

1,2

Comments

Also, number of transformation monoids on n elements.

Links

Table of n, a(n) for n=1..4.

M. Behrisch, Counting and enumerating transformation monoids, 103rd Workshop on General Algebra (Estonia, 2023).

Jannik Hess, Automorphism groups of monoids acting on number fields, Bachelor Thesis, 2019.

Formula

a(n) = A378869(n) + A378870(n).

Crossrefs

Cf. A378869, A378870, A378871.

Sequence in context: A364688 A116298 A384022 * A112637 A289366 A253120

Adjacent sequences: A343137 A343138 A343139 * A343141 A343142 A343143

Keyword

hard,nonn,more

Author

Max Alekseyev, Jan 27 2022

Extensions

a(4) from M. Behrisch added by Max Alekseyev, Dec 09 2024

Status

approved