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A006290 Number of 3-connected graphs with n nodes.
(Formerly M3039)
+0
5
1, 3, 17, 136, 2388, 80890, 5114079, 573273505, 113095167034, 39582550575765, 24908445793058442, 28560405143495819079, 60364410130177223014724, 237403933018799958309530349, 1750323137355778190158082029500, 24333358813699371350715221107464003, 640811613278752754485012443963579501421 (list; graph; listen)
OFFSET

4,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

R. C. Read and R. J. Wilson, An Atlas of Graphs, Oxford, 1998.

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), no. 2, 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.

LINKS

Eric Weisstein's World of Mathematics, k-Connected Graph

R. W. Robinson, Tables

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.

CROSSREFS

Cf. A000088, A001349, A002218, A006289.

Sequence in context: A093986 A055214 A105630 this_sequence A060003 A025167 A136727

Adjacent sequences: A006287 A006288 A006289 this_sequence A006291 A006292 A006293

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from R. C. Read (rcread(AT)math.uwaterloo.ca). Robinson and Walsh list first 25 terms.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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