A389998 Number of partitions of the faces of the n-th Johnson solid into connected subsets.

43, 118, 1275, 12712, 126412, 39123112, 357, 3655, 33784, 165686, 3896095, 114, 7076, 2712, 81224, 2015238, 3070227, 1230290, 130556822

Offset

1,1

Comments

Composition numbers of the 1-skeletons of the duals of the Johnson solids.

Numbers of bridgeless spanning subgraphs of the 1-skeletons of the Johnson solids.

Links

Table of n, a(n) for n=1..19.

Crossrefs

Cf. A389996 (platonic solids), A389997 (Archimedean solids).

Cf. A242731 (faces), A242732 (edges), A242733 (vertices), A343209 (spanning trees), A343210 (unfoldings), A343211 (Hamiltonian cycles), A343212 (symmetries), A343954-A343959, A384377 (connected subsets of vertices), A384379 (connected subsets of edges), A384381 (connected subsets of faces), A390001 (partitions of the faces into 2 connected parts).

Sequence in context: A297412 A282294 A251075 * A248018 A262491 A029816

Adjacent sequences: A389995 A389996 A389997 * A389999 A390000 A390001

Keyword

nonn,fini,more

Author

Pontus von Brömssen, Oct 31 2025

Status

approved