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A051502
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Number of asymmetric types of Boolean functions of n variables under action of complementing group C(n,2).
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8
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OFFSET
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0,1
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LINKS
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FORMULA
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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.
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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