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Search: a339069 -id:a339069
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Number of series-reduced 2-connected graphs with n nodes.
(Formerly M3058)
+10
5
1, 3, 19, 149, 2581, 84151, 5201856, 577050233, 113372069299, 39618015318982, 24916462761069296, 28563626972509456884, 60366734349116636660402, 237406975840304068884168139, 1750330441810569047176394509086
OFFSET
4,2
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
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. See also.
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.
CROSSREFS
Row sums of A339069.
KEYWORD
nonn,nice
EXTENSIONS
Robinson and Walsh list first 25 terms.
STATUS
approved
Number of unlabeled series-reduced 2-connected graphs with n edges.
+10
2
1, 0, 1, 3, 5, 9, 26, 65, 193, 632, 2173, 8049, 31690, 130773, 563849, 2525348, 11702264, 55948154, 275331956, 1392136462, 7221272289, 38380011748, 208778309856
OFFSET
6,4
CROSSREFS
Column sums of A339069.
KEYWORD
nonn,more
AUTHOR
Andrew Howroyd, Nov 24 2020
STATUS
approved

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