A053189 Hamming weights (or nonlinearity) of degree 5 rotation-symmetric functions.

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

Offset

5,2

Comments

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

Links

Table of n, a(n) for n=5..13.

Example

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

Crossrefs

Cf. A051253, A053168.

Sequence in context: A005887 A349172 A119875 * A156231 A024860 A025100

Adjacent sequences: A053186 A053187 A053188 * A053190 A053191 A053192

Keyword

more,nonn

Author

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

Extensions

a(11)-a(13) from Charlie Neder, Feb 05 2019

Status

approved