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Research Note Topic:
Research Note Description:
As explained in my previous research note on
, if a Fibonacci Series is represented by:
ƒ(n + 2) = ƒ(n + 1) + ƒ(n)
Then, another interesting spin can be added by using this formula:
ƒ(n + 2) = ± ƒ(n + 1) ± ƒ(n)
The sign makes the sequence very unpredictable. This is a
"Random Fibonacci Series"
For a long time, this particular
of the fibonacci sequence was not considered to be of as much importance as the generic fibonacci sequence itself. But, recently mathematicians have been able to calculate the
of the random fibonacci sequence with probability of the sign being Binomially Distributed with p = 1/2.
Prof. Ashay Dharwadker