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A003184
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Number of self-dual equivalence classes of threshold functions of exactly n+1 variables.
(Formerly M3492)
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1
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OFFSET
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0,5
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REFERENCES
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H. M. Gurk and J. R. Isbell. 1959. Simple Solutions. In A. W. Tucker and R. D. Luce (eds.) Contributions to the Theory of Games, Volume 4. Princeton, NJ: Princeton University Press, pp. 247-265. Case n=6.
S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 38, Table 2.3.2. - Row 24. (cases n>7).
J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton University Press, New Jersey, 1944. Cases n=1 to 5.
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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Wang Lan, Table of n, a(n) for n = 0..9
J. R. Isbell, On the enumeration of majority games, MTAC, v.13, 1959, pp. 21-28. (case n=7).
S. Muroga, Threshold Logic and Its Applications, Wiley, NY, 1971 [Annotated scans of a few pages]
S. Muroga, T. Tsuboi and C. R. Baugh, Enumeration of threshold functions of eight variables, IEEE Trans. Computers, 19 (1970), 818-825. [Annotated scanned copy]
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FORMULA
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a(n) = A001532(n+1) - A001532(n), for n>0. - Evgeny Luttsev, Sep 09 2014
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CROSSREFS
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Sequence in context: A048369 A269590 A113559 * A065062 A240273 A137048
Adjacent sequences: A003181 A003182 A003183 * A003185 A003186 A003187
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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a(9) from Evgeny Luttsev, Sep 09 2014
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STATUS
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approved
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