Generalized Beatty sequences
A well-known result due to S. Beatty is that if α and β are positive irrational numbers satisfying α−1+β−1=1 then each positive integer is to be found in precisely one of the sequences {[kα]}, {[kβ]}(k=1,2,3,…) where [x] denotes the integral part of x. The present note generalizes this result to the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1978-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171278000514 |
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