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A006869 Number of distinct vertex-degree sequences of n-faced polyhedral graphs.
(Formerly M1748)
0
1, 2, 7, 18, 52, 133, 330, 762, 1681 (list; graph; refs; listen; history; text; internal format)
OFFSET
4,2
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
Eric Weisstein's World of Mathematics, Skeleton
Wikipedia, Heptahedron
EXAMPLE
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)
CROSSREFS
Cf. A000944.
Sequence in context: A122931 A094976 A280598 * A099626 A261331 A046672
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Name edited by Michel Marcus and Andrey Zabolotskiy, Jun 15 2022
STATUS
approved

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Last modified March 29 06:34 EDT 2024. Contains 371265 sequences. (Running on oeis4.)