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. 2019 Jan 28;5(1):e01130. doi: 10.1016/j.heliyon.2019.e01130

Table 6.

Examples of different triples of (α,β,γ) for α = β = γ = φk in Table 5, which result in the same form of ratios containing Fi, where Fi denotes the i-th term of the original Fibonacci sequence.

Adult survival Juvenile survival Birth rate Ratio
(α) (β) (γ) (φˆ)
φ φ φ φ + 1
φ2 φ2 φ2 2 φ + 1
φ3 φ3 φ3 3 φ + 2
φ4 φ4 φ4 5 φ + 3
φ5 φ5 φ5 8 φ + 5
φ6 φ6 φ6 13 φ + 8
φ7 φ7 φ7 21 φ + 13
φ8 φ8 φ8 34 φ + 21
φk φk φk F(k−1)φ + F(k−2)