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:

    Religious literature has eminent examples, and if we run over our private list of poets, critics, philanthropists and philosophers, we shall find them infected with this dropsy and elephantiasis, which we ought to have tapped.
    Ralph Waldo Emerson (1803–1882)

    All is possible,
    Who so list believe;
    Trust therefore first, and after preve,
    As men wed ladies by license and leave,
    All is possible.
    Sir Thomas Wyatt (1503?–1542)

    The forward Youth that would appear
    Must now forsake his Muses dear,
    Nor in the Shadows sing
    His Numbers languishing.
    Andrew Marvell (1621–1678)