Triangles of numbers | Fibonacci numbers

Wythoff array

In mathematics, the Wythoff array is an infinite matrix of integers derived from the Fibonacci sequence and named after Dutch mathematician Willem Abraham Wythoff. Every positive integer occurs exactly once in the array, and every integer sequence defined by the Fibonacci recurrence can be derived by shifting a row of the array. The Wythoff array was first defined by using Wythoff pairs, the coordinates of winning positions in Wythoff's game. It can also be defined using Fibonacci numbers and Zeckendorf's theorem, or directly from the golden ratio and the recurrence relation defining the Fibonacci numbers. (Wikipedia).

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Related pages

Fibonacci number | Willem Abraham Wythoff | Lucas number | Recurrence relation | Integer | Zeckendorf's theorem | Beatty sequence | Matrix (mathematics) | Wythoff's game | Golden ratio