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A373922
Number of lattices on n unlabeled nodes, up to duality.
0
1, 1, 1, 1, 2, 4, 11, 33, 129, 577, 3113, 19092, 132318, 1011665
OFFSET
0,5
COMMENTS
Number of nonisomorphic lattices on n nodes, when from each pair of dual lattices only one is counted.
LINKS
Volker Gebhardt and Stephen Tawn, Catalogue of unlabelled lattices on up to 16 elements, Western Sydney University (2018).
FORMULA
a(n) = (A006966(n) + A373894(n)) / 2.
EXAMPLE
a(5)=4: These are the four lattices. The dual of the last one is not counted.
o o o o
| / \ /|\ |
o o | o o o o
| | o \|/ / \
o o | o o o
| \ / \ /
o o o
|
o
CROSSREFS
Sequence in context: A127782 A002846 A188478 * A302547 A123444 A123473
KEYWORD
nonn,hard,more
AUTHOR
Jukka Kohonen, Jun 30 2024
STATUS
approved