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 A330295 Number of non-isomorphic fully chiral set-systems covering n vertices. 5
 1, 1, 1, 7, 889 (list; graph; refs; listen; history; text; internal format)
 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. LINKS 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. Cf. A000612, A016031, A055621, A083323, A283877, A319637, A330098, A330231, A330232, A330234, A330282. Sequence in context: A298301 A332187 A093171 * A177908 A127102 A269932 Adjacent sequences: A330292 A330293 A330294 * A330296 A330297 A330298 KEYWORD nonn,more AUTHOR Gus Wiseman, Dec 10 2019 STATUS approved

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Last modified March 22 18:49 EDT 2023. Contains 361433 sequences. (Running on oeis4.)