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Search: id:A006787
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| A006787 |
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Number of n-node graphs with no cycles of length less than 5. (Formerly M0792)
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+0 6
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| 1, 2, 3, 6, 11, 23, 48, 114, 293, 869, 2963, 12066, 58933, 347498, 2455693, 20592932, 202724920, 2322206466, 30743624324
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Includes graphs with no cycles at all as well as graphs with girth greater than 5.
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REFERENCES
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B. D. McKay, personal communication.
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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Brendan D. McKay, Isomorph-free exhaustive generation, Table 2.
Brendan D. McKay, Isomorph-Free Exhaustive Generation, J. Algorithms, vol. 26 iss. 2 (1998), 306-324.
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CROSSREFS
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Cf. A054760, A000066.
Sequence in context: A130131 A123465 A000055 this_sequence A000992 A036648 A047750
Adjacent sequences: A006784 A006785 A006786 this_sequence A006788 A006789 A006790
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Definition corrected by B. D. McKay, Apr 27 2007
a(18)-a(19) (from the McKay reference) added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 17 2008
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