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A383983
Number of connected subsets of n edges of the rhombic triacontahedron up to the 120 rotations and reflections of the rhombic triacontahedron.
4
1, 1, 3, 7, 24, 84, 334, 1330, 5495, 22776, 94920, 394706
OFFSET
0,3
COMMENTS
Connected subsets of edges are also called "polysticks," "polyedges," and "polyforms."
These are "free" polyforms, in that two polyforms are equivalent if one can be mapped to the other using the 120 symmetries of the rhombic triacontahedron.
CROSSREFS
Cf. A019988.
Cf. A333333 (cube, row 3), A383490 (dodecahedron), A383973 (octahedron, row 3), A383974 (icosahedron), A383974 (tetrahedron, row 3), A383981 (rhombic dodecahedron), A383982 (cuboctahedron), A383983 (rhombic triacontahedron), A383984 (icosidodecahedron).
Sequence in context: A225826 A228992 A383984 * A246657 A038169 A176606
KEYWORD
nonn,fini,more
AUTHOR
Peter Kagey, May 16 2025
STATUS
approved