A051502 - OEIS

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A051502

Number of asymmetric types of Boolean functions of n variables under action of complementing group C(n,2).

2, 1, 2, 23, 3904, 134156284, 288230371925149328, 2658455991569831727504985413859223552, 452312848583266388373324160190187139712882738675004907244383829401569627136

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OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..11

Index entries for sequences related to Boolean functions

FORMULA

a(n) = (1/2^n)*Sum_{j=0..n} (-1)^j*2^(C(j, 2))*[ n, j ]*2^(2^(n-j)), where [ n, j ] is the Gaussian 2-binomial coefficient.

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A115507 A343259 A173252 * A228690 A121721 A173476