

A292853


Congruenceuniform lattices whose alternate order is a lattice.


0



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

1,6


COMMENTS

A lattice is congruenceuniform if it can be constructed from the singletonlattice 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 boundedhomomorphic images or sublattices of free lattices, Canadian Journal of Mathematics, 31 (1979), 617631.
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 465467.


CROSSREFS

Cf. A292790, A292852.
Sequence in context: A011952 A032104 A051573 * A204516 A277346 A005648
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



