A390000 Ordered numbers of partitions of the faces of the Catalan solids into 2 connected subsets.

239, 640, 11747, 49662, 395303, 1140933, 2918086

Offset

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..7.

Example

The first solids are in order:
  triakistetrahedron (239),
  rhombic dodecahedron (640),
  triakisoctahedron (11747),
  tetrakishexahedron (49662),
  trapezoidal icositetrahedron (395303),
  pentagonal icositetrahedron (1140933),
  rhombic triacontahedron (2918086).

Crossrefs

Cf. A343434, A358999 (platonic solids), A389999 (Archimedean solids), A390001 (Johnson solids).

Sequence in context: A142557 A164290 A201787 * A289390 A118574 A142854

Adjacent sequences: A389997 A389998 A389999 * A390001 A390002 A390003

Keyword

nonn,fini,more

Author

Pontus von Brömssen, Oct 31 2025

Status

approved