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%I #24 Feb 26 2018 00:59:26
%S 2,1,2,23,3904,134156284,288230371925149328,
%T 2658455991569831727504985413859223552,
%U 452312848583266388373324160190187139712882738675004907244383829401569627136
%N Number of asymmetric types of Boolean functions of n variables under action of complementing group C(n,2).
%H G. C. Greubel, <a href="/A051502/b051502.txt">Table of n, a(n) for n = 0..11</a>
%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>
%F a(n) = 1/(2^n)*Sum_{j=0..n} (-1)^j*2^(C(j, 2))*[ n, j ]*2^(2^(n-j)), j=0..n), where [ n, j ] is Gaussian 2-binomial coefficient.
%t Table[1/(2^n)*Sum[(-1)^j*2^(Binomial[j, 2])*QBinomial[n, j, 2]*2^(2^(n-j)), {j,0,n}], {n,0,10}] (* _G. C. Greubel_, Feb 15 2018 *)
%K easy,nonn
%O 0,1
%A _Vladeta Jovovic_
%E a(7)-a(8) from _G. C. Greubel_, Feb 15 2018
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