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A006290 Number of 3-connected graphs with n nodes.
(Formerly M3039)
16
1, 3, 17, 136, 2388, 80890, 5114079, 573273505, 113095167034, 39582550575765, 24908445793058442, 28560405143495819079, 60364410130177223014724, 237403933018799958309530349, 1750323137355778190158082029500, 24333358813699371350715221107464003, 640811613278752754485012443963579501421 (list; graph; refs; listen; history; text; internal format)
OFFSET
4,2
COMMENTS
Robinson and Walsh list first 25 terms.
REFERENCES
R. C. Read and R. J. Wilson, An Atlas of Graphs, Oxford, 1998.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018.
R. W. Robinson, Tables
R. W. Robinson, Tables [Local copy, with permission]
R. W. Robinson and T. R. S. Walsh, Inversion of cycle index sum relations for 2- and 3-connected graphs, J. Combin. Theory Ser. B. 57 (1993), 289-308.
T. R. S. Walsh, Counting unlabeled three-connected and homeomorphically irreducible two-connected graphs, J. Combin. Theory Ser. B 32 (1982), no. 1, 12-32.
Eric Weisstein's World of Mathematics, k-Connected Graph
David Kofoed Wind, Connected Graphs with Fewest Spanning Trees, Bachelor Thesis, Spring 2011.
CROSSREFS
Row sums of A339072.
Sequence in context: A055214 A105630 A199138 * A060003 A350736 A231909
KEYWORD
nonn,nice
AUTHOR
EXTENSIONS
More terms from Ronald C. Read.
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)