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*Italian Number Theorist 1175–1240*

Leonardo Pisano Fibonacci (c. 1175–c. 1240) is considered by many to be the greatest number theorist of the Middle Ages. The following sequence

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,

233, 377, 610, 987, 1597, 2584, 4181, …

defined by F_{1} = 1, F_{2} = 1, and for *n* ≥ 3, F_{n} = F_{n–1} + F_{n–2} is called the Fibonacci sequence in his honor. The Fibonacci sequence evolved from the following problem in Fibonacci's book *Liber abbaci.*

A certain man put a pair of rabbits in a place surrounded by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?

The answer is F_{12} = 377.

It...

This section contains 378 words(approx. 2 pages at 300 words per page) |