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A006290
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Number of 3-connected graphs with n nodes.
(Formerly M3039)
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13
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1, 3, 17, 136, 2388, 80890, 5114079, 573273505, 113095167034, 39582550575765, 24908445793058442, 28560405143495819079, 60364410130177223014724, 237403933018799958309530349, 1750323137355778190158082029500, 24333358813699371350715221107464003, 640811613278752754485012443963579501421
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OFFSET
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4,2
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COMMENTS
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Robinson and Walsh list first 25 terms.
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REFERENCES
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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).
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LINKS
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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.
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CROSSREFS
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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
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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More terms from R. C. Read (rcread(AT)math.uwaterloo.ca).
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STATUS
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approved
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