A238305 Triangle E(n,k), 1<=k<=n, giving the cardinality of optimal ternary covering codes of empty spheres of length n and radius k

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

Offset

1,1

Comments

The next term is in the range 71-81.

Right diagonal is equal to A086676.

Links

Table of n, a(n) for n=1..15.

Jernej Azarija, M. A. Henning, S. Klavzar, (Total) Domination in Prisms, arXiv preprint arXiv:1606.08143 [math.CO], 2016.

Jernej Azarija, S. Klavzar, Y. Rho, S. Sim, On domination-type invariants of Fibonacci cubes and hypercubes, Preprint 2016.

Jernej Azarija, S. Klavzar, Y. Rho, S. Sim, On domination-type invariants of Fibonacci cubes and hypercubes, Ars Mathematica Contemporanea, 14 (2018) 387-395.

Kamiel P. F. Verstraten, A generalization of the football pool problem, Master's Thesis, Tilburg University, 2014.

Example

Triangle starts:
01: 2
02: 3 3
03: 6 4 5
04: 14 6 5 8
05: 27 12 6 7 12
...

Crossrefs

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

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

See also A000983.

Sequence in context: A274824 A141729 A272400 * A337660 A049990 A173739

Adjacent sequences: A238302 A238303 A238304 * A238306 A238307 A238308

Keyword

nonn,hard,more,tabl

Author

Kamiel P.F. Verstraten, Feb 24 2014

Status

approved