login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A070263 Triangle T(n,k), n>=0, 1 <= k <= 2^n, read by rows, giving minimal distance-sum of any set of k binary vectors of length n. 1

%I #9 Sep 05 2013 09:54:07

%S 0,0,1,0,1,4,8,0,1,4,8,16,25,36,48,0,1,4,8,16,25,36,48,68,89,112,136,

%T 164,193,224,256,0,1,4,8,16,25,36,48,68,89,112,136,164,193,224,256,

%U 304,353

%N Triangle T(n,k), n>=0, 1 <= k <= 2^n, read by rows, giving minimal distance-sum of any set of k binary vectors of length n.

%C For n >= 8 the rows have different beginnings.

%H A. Kündgen, <a href="http://dx.doi.org/10.1016/S0012-365X(01)00242-4">Minimum average distance subsets in the Hamming cube</a>, Discrete Math., 249 (2002), 149-165.

%F Rows seem to converge to expansion of 1/(1-x)^2 * sum(k>=0, 2^kt/(1-t^2), t=x^2^k). - _Ralf Stephan_, Sep 12 2003

%e 0; 0,1; 0,1,4,8; 0,1,4,8,16,25,36,48; 0,1,4,8,16,25,36,48,68,89,112,...

%Y Cf. A022560.

%K nonn,tabf

%O 0,6

%A Andre Kundgen (akundgen(AT)csusm.edu), May 09 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 9 14:31 EDT 2024. Contains 372351 sequences. (Running on oeis4.)