Fibonacci Numbers

Leonardo of Pisa, known as Fibonacci, introduced this series to Western mathematics in 1202:

F(0) = 0
F(1) = 1
F(n) = F(n - 2) + F(n - 1) , where n > 1


0 1 2 3 4 5 6  7  8  9 10 11  12  13  14  15

0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610

The ratio between successive Fibonacci numbers approaches the golden ratio &phi = ( 1 + &radic 5 ) / 2 = 1.618034... .

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