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:

    My list of things I never pictured myself saying when I pictured myself as a parent has grown over the years.
    Polly Berrien Berends (20th century)

    Do your children view themselves as successes or failures? Are they being encouraged to be inquisitive or passive? Are they afraid to challenge authority and to question assumptions? Do they feel comfortable adapting to change? Are they easily discouraged if they cannot arrive at a solution to a problem? The answers to those questions will give you a better appraisal of their education than any list of courses, grades, or test scores.
    Lawrence Kutner (20th century)

    And when all bodies meet
    In Lethe to be drowned,
    Then only numbers sweet
    With endless life are crowned.
    Robert Herrick (1591–1674)