kth order Fibonacci numbers


Definition: A sequence of numbers where each number is the sum of the k preceding numbers. The usual Fibonacci numbers occur when k=2.

Formal Definition:

Also known as pth order Fibonacci numbers.

See also optimal polyphase merge.

Author: PEB

More information

Apparently first studied by V. Schlegel, El Progreso Matemático, 4:173-174, 1894.

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Entry modified 17 December 2004.
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Cite this as:
Paul E. Black, "kth order Fibonacci numbers", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY) Available from: