examples of Keith numbers
Take the number 47 as it is written in base 10, and start a Fibonacci-like sequence from its digits: 4, 7, 11, 18, 29, 47, …
42, on the other hand, isn’t a Keith number: 4, 2, 6, 8, 14, 22, 36, 58, etc.
For 3-digit numbers, the analogy is to the tribonacci sequence: 1, 9, 7, 17, 33, 57, 107, 197, …
In binary, 2 is a Keith number: 1, 0, 1, 1, 10, … Generalizing, is a Keith number in base only if it appears in the Fibonacci sequence
, and if in the applicable bonacci sequence.
| Title | examples of Keith numbers |
|---|---|
| Canonical name | ExamplesOfKeithNumbers |
| Date of creation | 2013-03-22 16:01:35 |
| Last modified on | 2013-03-22 16:01:35 |
| Owner | PrimeFan (13766) |
| Last modified by | PrimeFan (13766) |
| Numerical id | 6 |
| Author | PrimeFan (13766) |
| Entry type | Example |
| Classification | msc 11A63 |