Work

Alternating generalized Fibonacci sequences

Year: 2025
Type: article
Abstract: In a recent paper, K. T. Atanassov and A. G. Shannon introduced a Fibonacci-like sequence derived from the generalized Fibonacci sequence by incorporating alternating signs into the recurrence relation. They also proposed explicit formulas for this sequence. In this work, we present the generating function for the sequence using a matrix-based approach. Furthermore, we explore additional variations of the original definition.
Language: English
Open Access status: diamond
OpenAlex ID: W4416150845
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