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A005749 Cascade-realizable Boolean functions of n variables.
(Formerly M3530)
0

%I M3530

%S 4,16,152,2368,47688,1156000,32699080,1057082752,38444581640,

%T 1553526946144,69054999618888,3348574955346496,175908582307762312,

%U 9951733002164182048,603217074746723736776,39001136297834245139200,2679228986900726147063304

%N Cascade-realizable Boolean functions of n variables.

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

%H J. T. Butler, <a href="/A006447/a006447.pdf">Letter to N. J. A. Sloane, Jun. 1975</a>.

%H J. T. Butler, <a href="http://dx.doi.org/10.1109/T-C.1975.224288">On the number of functions realized by cascades and disjunctive networks</a>, IEEE Trans. Computers, C-24 (1975), 681-690. (<a href="/A005613/a005613.pdf">Annotated scanned copy</a>)

%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>

%F a(n) = Sum_{k=0..n} binomial(n, k) * A005613(k). - _Sean A. Irvine_, Aug 22 2016

%Y Cf. A005613.

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Aug 22 2016

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)