International Journal of Science, Engineering and TechnologyAuthors: K Sneha Deepa
Abstract: This review synthesizes recent developments in Fibonacci-type sequences, focusing on -Fibonacci, -Fibonacci-like, and generalized variants. We compile key identities, divisibility results, and computational data for these sequences. Comparative tables illustrate growth rates, convergence to metallic means, and applications across disciplines. Six open research problems are identified. Current literature indicates that generalized Fibonacci sequences retain structural properties of the classical case while offering broader modeling flexibility in cryptography, coding theory, and biological systems.
DOI: http://doi.org/10.5281/zenodo.20583176
