Definition:Beatty Sequence/Complementary
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Definition
Let $x$ be an irrational number.
Let $\BB_x$ be the Beatty sequence on $x$.
The complementary Beatty sequence on $x$ is the integer sequence formed by the integers which are missing from $\BB_x$.
Also see
- Beatty's Theorem, which proves that the complementary Beatty sequence on $x$ is a Beatty sequence on another irrational number $y$.
Source of Name
This entry was named for Samuel Beatty.