Wythoff array: Difference between revisions

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In mathematics, the '''Wythoff array''' is infinite [[matrix]] of [[integer]]s derived from the [[Fibonacci sequence]] and named after Dutch mathematician [[Willem Abraham Wythoff]].

'''Wythoff Array''' is an array that is formed by taking anti diagonals of square determinant.

The first row of the Wythoff Array are the first n Fibonacci numbers.<ref>[http://mathworld.wolfram.com/WythoffArray.html wolfram.com]</ref>

==Introduction==

The Wythoff Arrayarray has the OEIS number A035513.<ref>[http://oeis.org/A035513 oeis.org]</ref>

The Wythoff Array is named after the Dutch mathematician [[Wythoff]].

The Wythoff Array has the OEIS number A035513.<ref>[http://oeis.org/A035513 oeis.org]</ref>

==Derivation==

The Wythoff Array is derived from the [[Fibonacci sequence]].

The first row of the Wythoff Array are the first n Fibonacci numbers.<ref>[http://mathworld.wolfram.com/WythoffArray.html wolfram.com]</ref>

The next row is determined by adding up the previous numbers.<ref>[http://mathworld.wolfram.com/WythoffArray.html wolfram.com]</ref>

==See also==

* [[Wythoff's game]]

* [[Wythoff symbol]]

* [[Wythoff construction]]

* [[Willem Abraham Wythoff]]

==References==

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*[http://oeis.org/A035513 oeis.org]

*[http://oeis.org/classic.html oeis.org]

*{{mathworld|urlname=WythoffArray|title=Wythoff Array}}

*[http://www.wolframalpha.com/entities/mathworld/wythoff_array/au/x7/nv/ wolframalpha.com]

*[http://mathworld.wolfram.com/WythoffArray.html wolfram.com]

[[Category:ArraysTriangles of numbers]]

[[Category:Fibonacci numbers]]