Fibonacci sequence
The fibonacci sequence is a very know sequence of mathematics science.
Called by the name of Leonardo Fibonacci.
The sequence is define by.
U(n+2)=U(n+1)+U(n)
The firsts terms are : 1,1,2,3,5,8,11…
2= 1+1, 3=2+1, 5=3+2 etc.
This sequence is very know for its mathematic property, which I can’t describe here withour using LaTex writing.
But also in a lot of enigma. Actually the sequence was define at the begining as an enigma :
A newly-born pair of rabbits, one male, one female, are put in a field; rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits; rabbits never die and a mating pair always produces one new pair (one male, one female) every month from the second month on. How many pairs will there be in one year?
The sequence is also connected to phi, the golden number and was used without a clear mathematic definition by incas in order to minimize the number of necessary grains per field.