A330294 Number of non-isomorphic fully chiral set-systems on n vertices.

1, 2, 3, 10, 899

Offset

0,2

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) = 10 set-systems:
  0  0    0        0
     {1}  {1}      {1}
          {2}{12}  {2}{12}
                   {1}{3}{23}
                   {2}{13}{23}
                   {3}{23}{123}
                   {2}{3}{13}{23}
                   {1}{3}{23}{123}
                   {2}{13}{23}{123}
                   {2}{3}{13}{23}{123}

Crossrefs

The labeled version is A330282.

Partial sums of A330295 (the 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.

Sequence in context: A322067 A302250 A290638 * A270442 A330581 A184163

Adjacent sequences: A330291 A330292 A330293 * A330295 A330296 A330297

Keyword

nonn,more

Author

Gus Wiseman, Dec 10 2019

Status

approved