A343433 - OEIS

%I #5 Apr 26 2021 21:31:43

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

%T 288087704535697

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

%e The solids are in order:

%e   truncated tetrahedron (3),

%e   truncated cube (6),

%e   truncated dodecahedron (30),

%e   truncated octahedron (44),

%e   cuboctahedron (100),

%e   truncated icosahedron (1090),

%e   truncated cuboctahedron (1342),

%e   rhombicuboctahedron (6020),

%e   icosidodecahedron (39040),

%e   snub cube (845340),

%e   truncated icosidodecahedron (47629064),

%e   rhombicosidodecahedron (1446402032),

%e   snub dodecahedron (288087704535697).

%Y Cf. A268283, A343211, A343432, A343434.

%K nonn,fini,full

%O 1,1

%A _Pontus von Brömssen_, Apr 15 2021