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Fungrim entry: fc4fd1

F2n+1=Fn+12+Fn2F_{2 n + 1} = F_{n + 1}^{2} + F_{n}^{2}
Assumptions:n∈Zn \in \mathbb{Z}
TeX:
F_{2 n + 1} = F_{n + 1}^{2} + F_{n}^{2}

n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
FibonacciFnF_{n} Fibonacci number
Powab{a}^{b} Power
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("fc4fd1"),
    Formula(Equal(Fibonacci(Add(Mul(2, n), 1)), Add(Pow(Fibonacci(Add(n, 1)), 2), Pow(Fibonacci(n), 2)))),
    Variables(n),
    Assumptions(Element(n, ZZ)))

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2021-03-15 19:12:00.328586 UTC