Abstract
In the base phi representation, any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two consecutive digits is always 0. In this self-contained paper, we give a new and short proof of the recursive structure of the base phi representations of the natural numbers.
| Original language | English |
|---|---|
| Pages (from-to) | 19-22 |
| Number of pages | 4 |
| Journal | Fibonacci Quarterly |
| Volume | 59 |
| Issue number | 1 |
| Publication status | Published - 2021 |