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A001532 Number of self-dual equivalence classes of threshold functions of n or fewer variables.
(Formerly M0852 N0324)
1
1, 1, 2, 3, 7, 21, 135, 2470, 175428, 52980624 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

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).

D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.1, p. 79.

S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 38, Table 2.3.2. - Row 23. (Cases n>7).

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

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

J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton University Press, New Jersey, 1944. (Cases n=1 to 5).

LINKS

J. R. Isbell, On the enumeration of majority games, MTAC, v.13, 1959, pp. 21-28. (Case n=7).

S. Muroga, T. Tsuboi and C. R. Baugh, Enumeration of threshold functions of eight variables, IEEE Trans. Computers, 19 (1970), 818-825.

CROSSREFS

Sequence in context: A032223 A002863 A047693 * A109456 A155745 A067738

Adjacent sequences:  A001529 A001530 A001531 * A001533 A001534 A001535

KEYWORD

nonn,nice,more

AUTHOR

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

EXTENSIONS

One more term from W. Lan (wl(AT)fjrtvu.edu.cn), Jun 27 2010

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Last modified February 16 04:47 EST 2012. Contains 205860 sequences.