A389999 Ordered numbers of partitions of the faces of the Archimedean solids into 2 connected subsets.

84, 1422, 2664, 3750, 845650, 6172428, 19305058, 66591572

Offset

1,1

Comments

Ordered numbers of minimal edge cuts of the 1-skeletons of the Catalan solids.

Ordered numbers of undirected cycles of the 1-skeletons of the Archimedean solids.

Links

Table of n, a(n) for n=1..8.

Example

The first solids are in order:
  truncated tetrahedron (84),
  cuboctahedron (1422),
  truncated cube (2664),
  truncated octahedron (3750),
  rhombicuboctahedron (845650),
  truncated cuboctahedron (6172428),
  icosidodecahedron (19305058),
  snub cube (66591572).

Crossrefs

Cf. A358999 (platonic solids), A390000 (Catalan solids), A390001 (Johnson solids).

Cf. A092536 (edges), A092537 (faces), A092538 (vertices), A343432 (spanning trees), A343433 (Hamiltonian cycles), A389997 (partitions of the faces into any number of connected parts).

Sequence in context: A219833 A163592 A244910 * A277784 A105942 A219476

Adjacent sequences: A389996 A389997 A389998 * A390000 A390001 A390002

Keyword

nonn,fini,more

Author

Pontus von Brömssen, Oct 31 2025

Status

approved