A292853 Congruence-uniform lattices whose alternate order is a lattice.

1, 1, 0, 1, 1, 2, 3, 8, 16, 41, 107, 304, 891, 2735

Offset

1,6

Comments

A lattice is congruence-uniform if it can be constructed from the singleton-lattice by a sequence of interval doublings. This doubling process gives rise to an alternate way of ordering the lattice elements. See the references for more details.

Links

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

A. Day, Characterizations of finite lattices that are bounded-homomorphic images or sublattices of free lattices, Canadian Journal of Mathematics, 31 (1979), 617-631.

H. Mühle, On the lattice property of shard orders, arXiv:1708.02104 [math.CO], 2017.

N. Reading, Lattice theory of the poset of regions, Birkhäuser, 2016, pages 465-467.

Crossrefs

Cf. A292790, A292852.

Sequence in context: A011952 A032104 A051573 * A363204 A204516 A331679

Adjacent sequences: A292850 A292851 A292852 * A292854 A292855 A292856

Keyword

nonn,more

Author

Henri Mühle, Sep 25 2017

Extensions

a(13)-a(14) from Henri Mühle, Aug 29 2019

Status

approved