Alternating Sums of Fourth Powers of k-Fibonacci and k-Lucas Numbers
Keywords:
k-Fibonacci number, k-Lucas number, Binet’s Formula.Abstract
The Fibonacci sequence is one of the most studied sequences, and it has beengeneralized in many ways. The k-Fibonacci sequence is a one-parameter generalization ofthe Fibonacci sequence introduced by Falcon and Plaza.
References
V.E. Hoggat, Fibonacci and Lucas Numbers, Palo Alto, Houghton-Mifflin, CA, 1969.
M. Livio, The Golden Ratio: The Story of Phi, The World’s Most Astonishing Number, Broadway Books, New York, 2002.


