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:
“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)
“Hey, you dress up our town very nicely. You don’t look out the Chamber of Commerce is going to list you in their publicity with the local attractions.”
—Robert M. Fresco, and Jack Arnold. Dr. Matt Hastings (John Agar)
“Old age equalizes—we are aware that what is happening to us has happened to untold numbers from the beginning of time. When we are young we act as if we were the first young people in the world.”
—Eric Hoffer (1902–1983)