A001531 Number of self-dual Boolean functions of n variables that are distinct under complementation/permutation.

1, 1, 3, 7, 83, 109950, 28613442061634, 32966964611113760521683249750048, 623226477875973310927522916529663444655632673539934117923988862064800

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• nice

References

• 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 21.
• E. M. Palmer and R. W. Robinson, Enumeration of self-dual configurations, Pacific J. Math., 110 (1984), 203-221.
• 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).
• I. Toda, On the number of types of self-dual logical functions, IEEE Trans. Electron. Comput., 11 (1962), 282-284.

Links

• 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]
• I. Toda, On the number of types of self-dual logical functions (annotated scanned copy)
• Index entries for sequences related to Boolean functions

Crossrefs

Cf. A000610, A000616.

Extensions

n=6 term corrected to value in Palmer-Robinson reference. Three new terms added by Chris Stretch (ct.stretch(AT)ulst.ac.uk) 7/98.

Offset corrected. - Max Alekseyev, Nov 21 2008