Category:Keith Numbers

From ProofWiki
Jump to navigation Jump to search

This category contains results about Keith Numbers.
Definitions specific to this category can be found in Definitions/Keith Numbers.

Let $K \in \Z_{>9}$ be an $n$-digit integer, where $n > 1$.

Let $A = \left({a_1, a_2, \ldots, a_n}\right)$ be the digits of $K$ in order.

Let $F_A$ be the Fibonacci-like sequence on $A$.


Then $K$ is a Keith number if and only if $K$ occurs somewhere in $F_A$.

Subcategories

This category has only the following subcategory.