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A292853 Congruence-uniform lattices whose alternate order is a lattice. 0
1, 1, 0, 1, 1, 2, 3, 8, 16, 41, 107, 304, 891, 2735 (list; graph; refs; listen; history; text; internal format)
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 * 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

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Last modified January 23 01:48 EST 2020. Contains 331166 sequences. (Running on oeis4.)