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A006787 Number of n-node graphs with no cycles of length less than 5.
(Formerly M0792)
+0
6
1, 2, 3, 6, 11, 23, 48, 114, 293, 869, 2963, 12066, 58933, 347498, 2455693, 20592932, 202724920, 2322206466, 30743624324 (list; graph; listen)
OFFSET

1,2

COMMENT

Includes graphs with no cycles at all as well as graphs with girth greater than 5.

REFERENCES

B. D. McKay, personal communication.

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

LINKS

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.

CROSSREFS

Cf. A054760, A000066.

Sequence in context: A130131 A123465 A000055 this_sequence A000992 A036648 A047750

Adjacent sequences: A006784 A006785 A006786 this_sequence A006788 A006789 A006790

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

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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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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