Search: id:A000791
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%I A000791 M2530 N0998
%S A000791 3,6,9,14,18,23,28,36
%N A000791 Ramsey numbers R(3,n).
%C A000791 The next term is known to be 40, 41, 42 or 43 (Exoo, Radziszowski). I 
               had a note here saying that the range had been narrowed to 40 or 
               41, but I cannot find the source for that remark, so I am not sure 
               it is correct. - N. J. A. Sloane (njas(AT)research.att.com), Feb 
               14 2007.
%D A000791 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000791 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000791 G. Berman and K. D. Fryer, Introduction to Combinatorics. Academic Press, 
               NY, 1972, p. 175.
%D A000791 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 288.
%D A000791 R. E. Greenwood and A. M. Gleason, Combinatorial relations and chromatic 
               graphs, Canad. J. Math., 7 (1955), 1-7.
%D A000791 J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 
               2004; p. 840.
%D A000791 J. G. Kalbfleisch, Construction of special edge-chromatic graphs, Canad. 
               Math. Bull., 8 (1965), 575-584.
%D A000791 B. D. McKay, personal communication.
%D A000791 H. J. Ryser, Combinatorial Mathematics. Mathematical Association of America, 
               Carus Mathematical Monograph 14, 1963, p. 42.
%D A000791 Jin Xu and C. K. Wong, Self-complementary graphs and Ramsey numbers I, 
               Discrete Math., 223 (2000), 309-326.
%H A000791 Anonymous, <a href="http://mathdb.org/notes_download/elementary/combinatorics/
               de_D7/de_D7.pdf">Ramsey's Theory</a>
%H A000791 G. Exoo, <a href="http://isu.indstate.edu/ge/RAMSEY">Ramsey Numbers</
               a>
%H A000791 R. Getschmann, <a href="http://www.getschmann.org/doc/thesis.html">Enumeration 
               of Small Ramsey Graphs</a>
%H A000791 I. Leader, <a href="http://pass.maths.org.uk/issue16/features/ramsey/
               ">Friends and Strangers</a>
%H A000791 Math Reference Project, <a href="http://www.mathreference.com/gph,ramsey.html">
               Ramsey Numbers</a>
%H A000791 Online Dictionary of Combinatorics, <a href="http://www.math.uic.edu/
               ~fields/comb_dic/R.html">Ramsey's Theorem</a>
%H A000791 I. Peterson, Math Trek, <a href="http://www.maa.org/mathland/mathtrek_12_6_99.html">
               Party Games</a>
%H A000791 I. Peterson, Math Trek, <a href="http://www.sciencenews.org/sn_arc99/
               12_4_99/mathland.htm">Party Games</a>
%H A000791 Stanislaw Radziszowski, <a href="http://www.combinatorics.org/Surveys/
               ">Small Ramsey Numbers.</a>
%H A000791 Ricardo, <a href="http://www.public.iastate.edu/~ricardo/ramsey">Ramsey 
               Number Page</a>
%H A000791 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RamseyNumber.html">Ramsey Number</a>
%H A000791 Wikipedia, <a href="http://en.wikipedia.org/wiki/Ramsey%27s_theorem">
               Ramsey's Theorem</a>.
%Y A000791 A row of the table in A059442. Cf. A120414.
%Y A000791 Sequence in context: A086838 A161669 A128261 this_sequence A027424 A134031 
               A130473
%Y A000791 Adjacent sequences: A000788 A000789 A000790 this_sequence A000792 A000793 
               A000794
%K A000791 nonn,hard,nice
%O A000791 2,1
%A A000791 N. J. A. Sloane (njas(AT)research.att.com).

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