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A003218 Weights of threshold functions.
(Formerly M0719)
1

%I M0719 #24 Oct 21 2023 17:06:12

%S 1,2,3,5,9,18,42

%N Weights of threshold functions.

%D S. Muroga, Threshold Logic and Its Applications. Wiley, NY, 1971, p. 268.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

%H Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992.

%p A003218:=-(1-4*z+2*z**3)/(-1+6*z-9*z**2+3*z**3); # Conjectured by _Simon Plouffe_ in his 1992 dissertation

%K nonn

%O 2,2

%A _N. J. A. Sloane_

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)