Generalizations of Fibonacci Numbers - Extension To Negative Integers

Extension To Negative Integers

Using Fn-2 = Fn - Fn-1, one can extend the Fibonacci numbers to negative integers. So we get: ... -8, 5, -3, 2, -1, 1, 0, 1, 1, 2, 3, 5, 8, ... and F-n = -(-1)nFn.

See also Negafibonacci.

Read more about this topic:  Generalizations Of Fibonacci Numbers

Famous quotes containing the words extension and/or negative:

    Where there is reverence there is fear, but there is not reverence everywhere that there is fear, because fear presumably has a wider extension than reverence.
    Socrates (469–399 B.C.)

    Parents need to recognize that the negative behavior accompanying certain stages is just a small part of the total child. It should not become the main focus or be pushed into the limelight.
    Saf Lerman (20th century)