Fibonacci Numbers - 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 Numbers

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

    Shea—they call him Scholar Jack—
    Went down the list of the dead.
    Officers, seamen, gunners, marines,
    The crews of the gig and yawl,
    The bearded man and the lad in his teens,
    Carpenters, coal-passers—all.
    Joseph I. C. Clarke (1846–1925)

    Lastly, his tomb
    Shall list and founder in the troughs of grass
    And none shall speak his name.
    Karl Shapiro (b. 1913)

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