Fibonacci Number - List of Fibonacci Numbers

List of Fibonacci Numbers

The first 21 Fibonacci numbers Fn for n = 0, 1, 2, ..., 20 are:

F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F13 F14 F15 F16 F17 F18 F19 F20
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765

The sequence can also be extended to negative index n using the re-arranged recurrence relation

which yields the sequence of "negafibonacci" numbers satisfying

Thus the bidirectional sequence is

F−8 F−7 F−6 F−5 F−4 F−3 F−2 F−1 F0 F1 F2 F3 F4 F5 F6 F7 F8
−21 13 −8 5 −3 2 −1 1 0 1 1 2 3 5 8 13 21

Read more about this topic:  Fibonacci Number

Famous quotes containing the words list of, list and/or numbers:

    Modern tourist guides have helped raised tourist expectations. And they have provided the natives—from Kaiser Wilhelm down to the villagers of Chichacestenango—with a detailed and itemized list of what is expected of them and when. These are the up-to- date scripts for actors on the tourists’ stage.
    Daniel J. Boorstin (b. 1914)

    Feminism is an entire world view or gestalt, not just a laundry list of women’s issues.
    Charlotte Bunch (b. 1944)

    The land cannot be cleansed of the blood that is shed therein, but by the blood of him that shed it.
    —Bible: Hebrew Numbers 35:33.