Wythoff array: Difference between revisions

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Each Wythoff pair occurs exactly once in the Wythoff array, as a consecutive pair of numbers in the same row, with an odd index for the first number and an even index for the second. Because each positive integer occurs in exactly one Wythoff pair, each positive integer occurs exactly once in the array {{harv|Morrison|1980}}.
 
Every sequence of positive integers satisfying the Fibonacci recurrence occurs, shifted by at most finitely many positions, is in the Wythoff array. In particular, the Fibonacci sequence itself is the first row, and the sequence of [[Lucas number]]s appears in shifted form in the second row {{harv|Morrison|1980}}.
 
==References==