A053189 - OEIS

%I #11 Feb 05 2019 01:42:41

%S 1,6,8,24,46,110,232,504,1080

%N Hamming weights (or nonlinearity) of degree 5 rotation-symmetric functions.

%C Another example which strengthens the belief that the Hamming weight and the nonlinearity of rotation-symmetric functions are the same.

%e a(5)=1 since the Hamming weight of x_1*x_2*x_3*x_4*x_5 is 1.

%e a(6)=6 since the Hamming weight of x_1*x_2*x_3*x_4*x_5 +x_2*x_3*x_4*x_5*x_6+x_3*x_4*x_5*x_6*x_1+x_4*x_5*x_6*x_1*x_2+x_5*x_6*x_1*x_2*x_3+x_6*x_1*x_2*x_3*x_4 is 6.

%Y Cf. A051253, A053168.

%K more,nonn

%O 5,2

%A Pantelimon Stanica (pstanica(AT)mail.aum.edu), Mar 01 2000

%E a(11)-a(13) from _Charlie Neder_, Feb 05 2019