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A005289
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Number of graphs on n nodes with 3 cliques.
(Formerly M3440)
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1
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0, 0, 1, 4, 12, 31, 67, 132, 239, 407, 657, 1019, 1523, 2211, 3126, 4323, 5859, 7806, 10236, 13239, 16906, 21346, 26670, 33010, 40498, 49290, 59543, 71438, 85158, 100913
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OFFSET
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1,4
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REFERENCES
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R. K. Guy, personal communication.
R. K. Guy, Monthly research problems, 1969-73, Amer. Math. Monthly, 80 (1973), 1120-1128.
R. K. Guy, Monthly research problems, 1969-75, Amer. Math. Monthly, 82 (1975), 995-1004.
Reid, K. B. The number of graphs on N vertices with 3 cliques. J. London Math. Soc. (2) 8 (1974), 94-98.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=1..30.
_Simon Plouffe_, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
_Simon Plouffe_, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Eric Weisstein's World of Mathematics, Clique.
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MAPLE
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A005289:=z**2*(3*z**3+z**2+z+1)/(z**2+z+1)/(z+1)**2/(z-1)**6; [Conjectured by Simon Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A162740 A074252 A074210 * A037255 A027658 A001982
Adjacent sequences: A005286 A005287 A005288 * A005290 A005291 A005292
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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