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A051253 Weights of rotation-symmetric functions in n variables. +0
3
1, 4, 6, 18, 36, 80, 172, 360, 760, 1576, 3264, 6720, 13776, 28160, 57376, 116640, 236608, 479104, 968640, 1955712, 3944064, 7945856, 15993856, 32168448, 64656640, 129879040, 260759040 (list; graph; listen)
OFFSET

3,2

LINKS

T. W. Cusick and P. Stanica, Fast Evaluation, Weights and Nonlinearity of Rotation-Symmetric Functions, Discr. Math. 258 (2002), 289-301.

FORMULA

a(n+3) = 2*a(n+1)+2*a(n)+2^n; G.f.: -[ (8*x^6)/(1-2*x)+x^3+*x^4+4*x^5 ]/(-1+2*x^2+2*x^3)

EXAMPLE

a(3)=1 since the rotation-symmetric function x_1*x_2*x_3 has Hamming weight 1. a(4)=4 since the rotation-symmetric function x_1*x_2*x_3+x_2*x_3*x_4+x_3*x_4*x_1+x_4*x_1*x_2 has Hamming weight 4.

CROSSREFS

Sequence in context: A088810 A005199 A107390 this_sequence A064403 A060667 A005959

Adjacent sequences: A051250 A051251 A051252 this_sequence A051254 A051255 A051256

KEYWORD

nice,hard,nonn

AUTHOR

Pantelimon Stanica (stanpan(AT)sciences.aum.edu)

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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