Fungrim entry: 7ef2c7

F_{n} = 2 F_{n - 2} + F_{n - 3}

Assumptions:

n \in \mathbb{Z}

TeX:

F_{n} = 2 F_{n - 2} + F_{n - 3}

n \in \mathbb{Z}

Definitions:

Fungrim symbol	Notation	Short description
`Fibonacci`	$F_{n}$	Fibonacci number
`ZZ`	$\mathbb{Z}$	Integers

Source code for this entry:

Entry(ID("7ef2c7"),
    Formula(Equal(Fibonacci(n), Add(Mul(2, Fibonacci(Sub(n, 2))), Fibonacci(Sub(n, 3))))),
    Variables(n),
    Assumptions(Element(n, ZZ)))

Topics using this entry

Fibonacci numbers

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

2021-03-15 19:12:00.328586 UTC