Abstract
Beatty sequences ⌊nα1 + ϐ1※m∈ℤ and ⌊mα2 + ϐ2※m∈ℤ are described by two athletes running in opposite directions on a round track. This approach suggests an interesting interpretation for well-known partitioning criteria; such sequences (eventually) partition the integers essentially when the athletes have the same starting point.
| Original language | English |
|---|---|
| Pages (from-to) | 636-645 |
| Journal | American Mathematical Monthly |
| Volume | 119 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2012 |