A Simplified Binet Formula for k-Generalized Fibonacci Numbers
Gregory P. B. Dresden
Department of Mathematics
Washington and Lee University
Lexington, VA 24450
In this paper, we present a Binet-style formula that can be used to
produce the k-generalized Fibonacci numbers (that is, the Tribonaccis,
Tetranaccis, etc.). Furthermore, we show that in fact one needs only
take the integer closest to the first term of this Binet-style formula
in order to generate the desired sequence.
Full version: pdf,
(Concerned with sequences
Received October 15 2008;
revised versions received February 19 2014; February 23 2014.
Published in Journal of Integer Sequences, February 26 2014.
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