# Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant

@article{Faraoni2021GeneralizedFN, title={Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant}, author={Valerio Faraoni and Farah Atieh}, journal={Symmetry}, year={2021}, volume={13}, pages={200} }

Continuous generalizations of the Fibonacci sequence satisfy ODEs that are formal analogues of the Friedmann equation describing a spatially homogeneous and isotropic cosmology in general relativity. These analogies are presented together with their Lagrangian and Hamiltonian formulations and with an invariant of the Fibonacci sequence.

## One Citation

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