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:

    I made a list of things I have
    to remember and a list
    of things I want to forget,
    but I see they are the same list.
    Linda Pastan (b. 1932)

    We saw the machinery where murderers are now executed. Seven have been executed. The plan is better than the old one. It is quietly done. Only a few, at the most about thirty or forty, can witness [an execution]. It excites nobody outside of the list permitted to attend. I think the time for capital punishment has passed. I would abolish it. But while it lasts this is the best mode.
    Rutherford Birchard Hayes (1822–1893)

    I had a feeling that out there, there were very poor people who didn’t have enough to eat. But they wore wonderfully colored rags and did musical numbers up and down the streets together.
    Jill Robinson (b. 1936)