OFFSET
0,4
COMMENTS
A set-system is a finite set of finite nonempty sets. It is fully chiral if every permutation of the covered vertices gives a different representative.
EXAMPLE
Non-isomorphic representatives of the a(0) = 1 through a(3) = 7 set-systems:
0 {1} {1}{12} {1}{2}{13}
{1}{12}{23}
{1}{12}{123}
{1}{2}{12}{13}
{1}{2}{13}{123}
{1}{12}{23}{123}
{1}{2}{12}{13}{123}
CROSSREFS
The labeled version is A330229.
First differences of A330294 (the non-covering case).
Unlabeled costrict (or T_0) set-systems are A326946.
BII-numbers of fully chiral set-systems are A330226.
Non-isomorphic fully chiral multiset partitions are A330227.
Fully chiral partitions are A330228.
Fully chiral factorizations are A330235.
MM-numbers of fully chiral multisets of multisets are A330236.
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Dec 10 2019
STATUS
approved