login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Triangle E(n,k), 1<=k<=n, giving the cardinality of optimal ternary covering codes of empty spheres of length n and radius k
3

%I #30 Mar 10 2018 08:35:20

%S 2,3,3,6,4,5,14,6,5,8,27,12,6,7,12

%N Triangle E(n,k), 1<=k<=n, giving the cardinality of optimal ternary covering codes of empty spheres of length n and radius k

%C The next term is in the range 71-81.

%C Right diagonal is equal to A086676.

%H Jernej Azarija, M. A. Henning, S. Klavzar, <a href="https://arxiv.org/abs/1606.08143">(Total) Domination in Prisms</a>, arXiv preprint arXiv:1606.08143 [math.CO], 2016.

%H Jernej Azarija, S. Klavzar, Y. Rho, S. Sim, <a href="https://www.fmf.uni-lj.si/~klavzar/preprints/Total-dom-cubes-submit.pdf">On domination-type invariants of Fibonacci cubes and hypercubes</a>, Preprint 2016.

%H Jernej Azarija, S. Klavzar, Y. Rho, S. Sim, <a href="https://amc-journal.eu/index.php/amc/article/view/1172">On domination-type invariants of Fibonacci cubes and hypercubes</a>, Ars Mathematica Contemporanea, 14 (2018) 387-395.

%H Kamiel P. F. Verstraten, <a href="/A238305/a238305.pdf">A generalization of the football pool problem</a>, Master's Thesis, Tilburg University, 2014.

%e Triangle starts:

%e 01: 2

%e 02: 3 3

%e 03: 6 4 5

%e 04: 14 6 5 8

%e 05: 27 12 6 7 12

%e ...

%Y Related to A060439, which has a code consisting of filled spheres instead of empty spheres.

%Y Related to A230014, the triangle giving the cardinality of optimal binary covering codes of empty spheres.

%Y See also A000983.

%K nonn,hard,more,tabl

%O 1,1

%A _Kamiel P.F. Verstraten_, Feb 24 2014