Fungrim home page

Fungrim entry: 35956b

F2n=Fn+12Fn12F_{2 n} = F_{n + 1}^{2} - F_{n - 1}^{2}
Assumptions:nZn \in \mathbb{Z}
TeX:
F_{2 n} = F_{n + 1}^{2} - F_{n - 1}^{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("35956b"),
    Formula(Equal(Fibonacci(Mul(2, n)), Sub(Pow(Fibonacci(Add(n, 1)), 2), Pow(Fibonacci(Sub(n, 1)), 2)))),
    Variables(n),
    Assumptions(Element(n, ZZ)))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-08-19 14:38:23.809000 UTC