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A051502 Number of asymmetric types of Boolean functions of n variables under action of complementing group C(n,2). 8
2, 1, 2, 23, 3904, 134156284, 288230371925149328, 2658455991569831727504985413859223552, 452312848583266388373324160190187139712882738675004907244383829401569627136 (list; graph; refs; listen; history; text; internal format)
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)), j=0..n), where [ n, j ] is 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: A271225 A115507 A173252 * A228690 A121721 A173476

Adjacent sequences:  A051499 A051500 A051501 * A051503 A051504 A051505

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic

EXTENSIONS

a(7)-a(8) from G. C. Greubel, Feb 15 2018

STATUS

approved

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Last modified November 18 22:39 EST 2019. Contains 329305 sequences. (Running on oeis4.)