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:
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)
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—Saf Lerman (20th century)