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%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