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%I M1266 N0485 #46 Oct 27 2023 09:55:36
%S 1,2,4,12,81,1684,122921,33207256,34448225389
%N Number of N-equivalence classes of self-dual threshold functions of n or fewer variables.
%D S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 38 and 214.
%D S. Muroga, T. Tsuboi and C. R. Baugh, Enumeration of threshold functions of eight variables, IEEE Trans. Computers, 19 (1970), 818-825.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Alastair D. King, <a href="/A002080/a002080.pdf">Comments on A002080 and related sequences based on threshold functions</a>, Mar 17 2023.
%H S. Muroga, <a href="/A000371/a000371.pdf">Threshold Logic and Its Applications</a>, Wiley, NY, 1971. [Annotated scans of a few pages]
%H S. Muroga, T. Tsuboi and C. R. Baugh, <a href="/A002077/a002077.pdf">Enumeration of threshold functions of eight variables</a>, IEEE Trans. Computers, 19 (1970), 818-825. [Annotated scanned copy]
%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>
%F a(n) = Sum_{k=1..n} A002077(k)*binomial(n,k) = (1/2^n)*Sum_{k=1..n} A000609(k-1)*binomial(n,k). - Alastair D. King, Mar 17, 2023.
%Y Cf. A000609, A002077, A002078.
%K nonn,more
%O 1,2
%A _N. J. A. Sloane_
%E Better description and corrected value of a(7) from Alastair King (see link) - _N. J. A. Sloane_, Oct 24 2023
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