A006869 Number of distinct vertex-degree sequences of n-faced polyhedral graphs.

1, 2, 7, 18, 52, 133, 330, 762, 1681

Offset: 4

Author

N. J. A. Sloane

Keywords

• nonn
• more

Examples

			From _Andrey Zabolotskiy_, Jun 15 2022: (Start)
All A000944(6) = 7 topologically distinct hexahedra have distinct vertex-degree sequences, so a(6) = 7.
There are A000944(7) = 34 heptahedra (polyhedral graphs with 7 faces), but some of them have identical vertex-degree sequences. See Wikipedia for these a(7) = 18 vertex-degree sequences (or, equivalently by polyhedron duality, sets of faces). (End)
		

References

• M. B. Dillencourt, personal communication.
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Steve Dutch, Enumeration of polyhedra
• Eric Weisstein's World of Mathematics, Skeleton
• Wikipedia, Heptahedron

Crossrefs

Cf. A000944.

Extensions

Name edited by Michel Marcus and Andrey Zabolotskiy, Jun 15 2022