Search: id:A000171
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%I A000171 M0014 N0780
%S A000171 1,0,0,1,2,0,0,10,36,0,0,720,5600,0,0,703760,11220000,0,0,9168331776,
%T A000171 293293716992,0,0,1601371799340544,102484848265030656,0,0,
%U A000171 3837878966366932639744,491247277315343649710080,0,0
%N A000171 Number of self-complementary graphs with n nodes.
%C A000171 a(n)=A007869(n)-A054960(n), where A007869(n) is number of unlabeled graphs 
               with n nodes and an even number of edges and A054960(n) is number 
               of unlabeled graphs with n nodes and an odd nu mber of edges.
%D A000171 F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 
               1973, p. 139, Table 6.1.1.
%D A000171 R. C. Read, On the number of self-complementary graphs and digraphs, 
               J. London Math. Soc., 38 (1963), 99-104.
%D A000171 R. C. Read and R. J. Wilson, An Atlas of Graphs, Oxford, 1998.
%D A000171 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000171 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000171 D. Wille, Enumeration of self-complementary structures, J. Comb. Theory 
               B 25 (1978) 143-150.
%H A000171 H. Fripertinger, <a href="http://www.mathe2.uni-bayreuth.de/frib/html/
               book/hyl00_46.html">Self-complementary graphs</a>
%H A000171 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Self-ComplementaryGraph.html">Link to a section of The World of Mathematics.</
               a>
%Y A000171 A000171(4*n)=A003086(2*n). Cf. A047660, A051251, A047832.
%Y A000171 Sequence in context: A113036 A000425 A010893 this_sequence A054922 A061848 
               A120556
%Y A000171 Adjacent sequences: A000168 A000169 A000170 this_sequence A000172 A000173 
               A000174
%K A000171 nonn,nice,easy
%O A000171 1,5
%A A000171 N. J. A. Sloane (njas(AT)research.att.com).
%E A000171 More terms from R. C. Read (rcread(AT)math.uwaterloo.ca) and Vladeta 
               Jovovic (vladeta(AT)eunet.rs).

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