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A006290 Number of 3-connected graphs with n nodes.
(Formerly M3039)
13
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

Andrew Howroyd, Table of n, a(n) for n = 4..25

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.

Cf. A000088, A001349, A002218, A006289, A007112, A338511.

Sequence in context: A055214 A105630 A199138 * A060003 A231909 A331688

Adjacent sequences:  A006287 A006288 A006289 * A006291 A006292 A006293

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from R. C. Read (rcread(AT)math.uwaterloo.ca).

STATUS

approved

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Last modified April 22 21:55 EDT 2021. Contains 343181 sequences. (Running on oeis4.)