A330295 Number of non-isomorphic fully chiral set-systems covering n vertices.

1, 1, 1, 7, 889

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

Table of n, a(n) for n=0..4.

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