A000618 Number of nondegenerate Boolean functions of n variables: For n > 0, a(n) = A000616(n) - A000616(n-1). (Formerly M0160 N0063)

2, 1, 3, 16, 380, 1227756, 400507805615570, 527471432057653003616766223882064, 11218076601767519586965281984173341005397671421797828020453197626398048

Offset

0,1

References

S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 38, Table 2.3.2. - Row 12.

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

Table of n, a(n) for n=0..8.

Goto, Eiichi, 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]

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]

J. Sklansky, General synthesis of tributary switching networks, IEEE Trans. Elect. Computers, 12 (1963), 464-469.

Index entries for sequences related to Boolean functions

Formula

For n > 0, a(n) = A000616(n) - A000616(n-1). - Charles R Greathouse IV, Oct 03 2008

Crossrefs

Cf. A000371, A000616, A211705, A211706.

Sequence in context: A209023 A209058 A209215 * A132950 A197190 A247482

Adjacent sequences: A000615 A000616 A000617 * A000619 A000620 A000621

Keyword

nonn,nice

Author

N. J. A. Sloane

Extensions

Edited and extended by Charles R Greathouse IV, Oct 03 2008

Status

approved