A000619 NP-equivalence classes of threshold functions of exactly n variables.
2, 1, 2, 5, 17, 92, 994, 28262, 2700791, 990331318
Offset: 0
References
- S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 38, Table 2.3.2. - Row 15.
- 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).
Links
- Eiichi Goto and Hidetosi Takahasi, Some Theorems Useful in Threshold Logic for Enumerating Boolean Functions, in Proceedings International Federation for Information Processing (IFIP) Congress, 1962, pp. 747-752. [Annotated scans of certain pages]
- Vadim M. Kartak, Artem V. Ripatti, Guntram Scheithauer, and Sascha Kurz, Minimal proper non-IRUP instances of the one-dimensional cutting stock problem, Discrete Applied Mathematics 2015, 187, 120-129. (has the last known term as of 2021, a(9)=990331318)
- S. Muroga, Threshold Logic and Its Applications, Wiley, NY, 1971 [Annotated scans of a few pages]
- Saburo Muroga, Iwao Toda, and Satoru Takasu, Theory of majority decision elements, Journal of the Franklin Institute 271.5 (1961): 376-418. [Annotated scans of pages 413 and 414 only]
- 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]
Crossrefs
Cf. A000617.
Extensions
a(9) added by Xavier Molinero, Oct 06 2021