login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006290 Number of 3-connected graphs with n nodes.
(Formerly M3039)
5
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

REFERENCES

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.

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

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.

David Kofoed Wind, CONNECTED GRAPHS WITH FEWEST SPANNING TREES, BACHELOR THESIS, SPRING 2011, http://www.student.dtu.dk/~s082951/publications/thesis.pdf

LINKS

Table of n, a(n) for n=4..20.

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: A055214 A105630 A199138 * A060003 A231909 A244432

Adjacent sequences:  A006287 A006288 A006289 * A006291 A006292 A006293

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified March 27 04:08 EDT 2017. Contains 284144 sequences.