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A002077 Number of N-equivalence classes of self-dual threshold functions of exactly n variables.
(Formerly M3683 N1503)
18

%I M3683 N1503 #30 Oct 27 2023 03:32:10

%S 1,0,1,4,46,1322,112519,32267168,34153652752

%N Number of N-equivalence classes of self-dual threshold functions of exactly n variables.

%D S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 38, Table 2.3.2. - Row 10.

%D S. Muroga and I. Toda, Lower bound on the number of threshold functions, IEEE Trans. Electron. Computers, 17 (1968), 805-806.

%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 A002080(n) = Sum_{k=1..n} a(k)*binomial(n,k). Also A000609(n-1) = Sum_{k=1..n} a(k)*binomial(n,k)*2^k. - Alastair D. King, Mar 17, 2023.

%Y Cf. A002078, A002079, A002080.

%K nonn,more

%O 1,4

%A _N. J. A. Sloane_

%E Better description from Alastair King, Mar 17, 2023.

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Last modified June 5 01:34 EDT 2024. Contains 373102 sequences. (Running on oeis4.)