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A001928 Number of connected topologies with n unlabeled nodes.
(Formerly M1655 N0648)
+0
4
1, 1, 2, 6, 21, 94, 512, 3485, 29515, 314474, 4255727, 73831813, 1653083021, 47941962135, 1803010446411, 87882300251730, 5543501326580737 (list; graph; listen)
OFFSET

0,3

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

K. K.-H. Butler and G. Markowsky, Enumeration of finite topologies, Proc. 4th S-E Conf. Combin., Graph Theory, Computing, Congress. Numer. 8 (1973), 169-184.

J. A. Wright, There are 718 6-point topologies, quasi-orderings and transgraphs, Notices Amer. Math. Soc., 17 (1970), p. 646, Abstract #70T-A106.

J. A. Wright, personal communication.

LINKS

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

FORMULA

Inverse Euler transform of A001930. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 06 2006

CROSSREFS

Cf. A001929, A001930.

Adjacent sequences: A001925 A001926 A001927 this_sequence A001929 A001930 A001931

Sequence in context: A033540 A147719 A115089 this_sequence A005638 A008988 A061232

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 06 2006

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.


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