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
Examples
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).