

A292852


Spherical congruenceuniform lattices on n unlabeled nodes


1



1, 1, 0, 1, 1, 2, 3, 8, 17, 45, 123, 367, 1148, 3792
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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. A lattice is spherical if its Möbius function between least and greatest element equals 1 or 1.


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.


CROSSREFS

Cf. A292790.
Sequence in context: A319566 A294450 A345243 * A148014 A148015 A148016
Adjacent sequences: A292849 A292850 A292851 * A292853 A292854 A292855


KEYWORD

nonn,more


AUTHOR

Henri Mühle, Sep 25 2017


EXTENSIONS

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


STATUS

approved



