The fibonnacci numbers fn are defined by fn+2=fn+1+fn
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In mathematics, the Fibonacci numbers, commonly denoted Fn form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is,[1]
{\displaystyle F_{0}=0,\quad F_{1}=1,} {\displaystyle F_{0}=0,\quad F_{1}=1,}
and
{\displaystyle F_{n}=F_{n-1}+F_{n-2},} {\displaystyle F_{n}=F_{n-1}+F_{n-2},}
for n > 1.
One has F2 = 1. In some books, and particularly in old ones, F0, the "0" is omitted, and the Fibonacci sequence starts with F1 = F2 = 1.
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