Kamiel P.F. Verstraten has authored 2 sequences.
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.
Original entry on oeis.org
2, 3, 3, 6, 4, 5, 14, 6, 5, 8, 27, 12, 6, 7, 12
Offset: 1
Triangle starts:
01: 2
02: 3 3
03: 6 4 5
04: 14 6 5 8
05: 27 12 6 7 12
...
- 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.
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.
A230014
Triangle E(n,k), 1<=k<=n, giving the cardinality of optimal binary covering codes of empty spheres of length n and radius k.
Original entry on oeis.org
2, 2, 4, 4, 4, 8, 4, 4, 4, 16, 8, 6, 6, 8, 32, 14, 8, 6, 8, 14, 64, 24, 8, 8, 8, 8, 24, 128, 32, 16, 8, 8, 8, 16, 32, 256, 64, 24, 12, 10, 10, 12, 24, 64, 512, 124
Offset: 1
Triangle starts:
01: 2,
02: 2, 4,
03: 4, 4, 8,
04: 4, 4, 4, 16,
05: 8, 6, 6, 8, 32,
06: 14, 8, 6, 8, 14, 64,
07: 24, 8, 8, 8, 8, 24, 128,
08: 32, 16, 8, 8, 8, 16, 32, 256,
09: 64, 24, 12, 10, 10, 12, 24, 64, 512,
10: 124, ...
Related to
A060438, which has a code consisting of filled spheres instead of empty spheres.
Related to
A238305, the triangle giving the cardinality of optimal ternary covering codes of empty spheres.
The first column is equal to 2*
A000983.
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