Applications include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems.

They also appear in biological settings, such as branching in trees, phyllotaxis $($the arrangement of leaves on a stem$),$ the fruit sprouts of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.

Rules:

First two values are $1$

Next value is equal to the sum of the previous two values

Inputs:

$[1$x$2]$ vector for the initial values $($initial condition$)$

Scalar for the length of the fibonacci sequence

Outputs:

Vector of the final fibonacci sequence $($length $=$ in$2)$