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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006785 Number of triangle-free graphs on n vertices.
(Formerly M0841)
6
1, 2, 3, 7, 14, 38, 107, 410, 1897, 12172, 105071, 1262180, 20797002, 467871369, 14232552452, 581460254001, 31720840164950 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..17.

P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.

Brendan McKay, Emails to N. J. A. Sloane, 1991

B. D. McKay, Isomorph-free exhaustive generation, J Algorithms, 26 (1998) 306-324.

W. Pu, J. Choi, E. Amir, Lifted Inference On Transitive Relations, Workshops at the Twenty-Seventh AAAI Conference on Statistical Relational Artificial Intelligence, 2013.

Eric Weisstein's World of Mathematics, Triangle-Free Graph

CROSSREFS

Cf. A024607.

Row sums of A283417.

Sequence in context: A090828 A049367 A089790 * A274538 A113182 A165433

Adjacent sequences:  A006782 A006783 A006784 * A006786 A006787 A006788

KEYWORD

nonn,more,changed

AUTHOR

N. J. A. Sloane.

EXTENSIONS

2 more terms (from the McKay paper) from Vladeta Jovovic, May 17 2008

2 more terms from Brendan McKay, Jan 12 2013

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 October 22 16:47 EDT 2017. Contains 293776 sequences.