Beatty 序列是一個譜序列，其基數為無理數。換句話說，對應於無理數 
的 Beatty 序列由 
, 
, 
, ..., 給出，其中 
是向下取整函式。如果 
和 
是正無理數，使得
 |
那麼 Beatty 序列 
, 
, ... 和 
, 
, ... 一起包含所有正整數，且不重複。
下表給出了 
和 
的特定值的序列 (Sprague 1963; Wells 1986, pp. 35 and 40)，其中 
是黃金比例。
| 引數 | OEIS | 序列 |
 | A001951 | 1, 2, 4, 5, 7, 8, 9, 11, 12, ... |
 | A001952 | 3, 6, 10, 13, 17, 20, 23, 27, 30, ... |
 | A022838 | 1, 3, 5, 6, 8, 10, 12, 13, 15, 17, ... |
 | A054406 | 2, 4, 7, 9, 11, 14, 16, 18, 21, 23, 26, ... |
 | A022843 | 2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 29, ... |
 | A054385 | 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, ... |
 | A022844 | 3, 6, 9, 12, 15, 18, 21, 25, 28, 31, 34, ... |
 | A054386 | 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, ... |
 | A000201 | 1, 3, 4, 6, 8, 9, 11, 12, 14, 16, 17, 19, 21, ... |
 | A001950 | 2, 5, 7, 10, 13, 15, 18, 20, 23, 26, 28, 31, 34, ... |
