A343433 Sorted numbers of (undirected) Hamiltonian cycles in the graphs of the Archimedean solids.

3, 6, 30, 44, 100, 1090, 1342, 6020, 39040, 845340, 47629064, 1446402032, 288087704535697

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Example

The solids are in order:
  truncated tetrahedron (3),
  truncated cube (6),
  truncated dodecahedron (30),
  truncated octahedron (44),
  cuboctahedron (100),
  truncated icosahedron (1090),
  truncated cuboctahedron (1342),
  rhombicuboctahedron (6020),
  icosidodecahedron (39040),
  snub cube (845340),
  truncated icosidodecahedron (47629064),
  rhombicosidodecahedron (1446402032),
  snub dodecahedron (288087704535697).

Crossrefs

Cf. A268283, A343211, A343432, A343434.

Sequence in context: A025555 A200925 A140814 * A136932 A136945 A260906

Adjacent sequences: A343430 A343431 A343432 * A343434 A343435 A343436

Keyword

nonn,fini,full

Author

Pontus von Brömssen, Apr 15 2021

Status

approved