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A000609 Number of threshold functions of n or fewer variables.
(Formerly M1285 N0492)
8
2, 4, 14, 104, 1882, 94572, 15028134, 8378070864, 17561539552946, 144130531453121108 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Gruzling, Nicolle, Linear separability of the vertices of an n-dimensional hypercube. M.Sc Thesis. University of Northern British Columbia, 2006. [From W. Lan (wl(AT)fjrtvu.edu.cn), Jun 27 2010]

Sze-Tsen Hu, Threshold Logic, University of California Press, 1965 see page 57.

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 3.

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

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).

Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.

R. O. Winder, Threshold Logic, Doctoral Dissertation, Math. Dept., Princeton University, May 1962.

R. O. Winder, Enumeration of seven-argument threshold functions, IEEE Trans. Electron. Computers, 14 (1965), 315-325.

LINKS

Wang Lan, Table of n, a(n) for n = 0..9 [This replaces an earlier b-file computed by David Wasserman]

Guido F. Montufar and Jason Morton, When Does a Mixture of Products Contain a Product of Mixtures?,  arXiv preprint arXiv:1206.0387, 2012. - From N. J. A. Sloane, Nov 09 2012

Stephen Wolfram, A New Kind Of Science. page 1102.

Wikipedia, Linear separability [From W. Lan (wl(AT)fjrtvu.edu.cn), Jun 27 2010]

Index entries for "core" sequences

Index entries for sequences related to Boolean functions

CROSSREFS

Cf. A000615, A109456, A116986.

Sequence in context: A032052 A005737 A219767 * A245079 A167008 A238638

Adjacent sequences:  A000606 A000607 A000608 * A000610 A000611 A000612

KEYWORD

nonn,hard,core,nice,more,changed

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

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Last modified October 31 17:56 EDT 2014. Contains 248868 sequences.