Publisher review:Random Fibonacci Sequence - The surprising behaviour of a random Fibonacci sequence This routine shows the surprising behaviour of a random Fibonacci sequence. As reported by Divakar Viswanath - "RANDOM FIBONACCI SEQUENCES AND THE NUMBER 1:13198824..." - in MATHEMATICS OF COMPUTATION, 1999; 69(231): 1131-1155:
"For the familiar Fibonacci sequence (defined by f1 = f2 = 1, and fn = fn1 fn2 for n > 2), fn increases exponentially with n at a rate given by the golden ratio (1 sqrt(5))/2 = 1:61803398....
But for a simple modification with both additions and subtractions - the random Fibonacci sequences defined by t1 = t2 = 1, and for n > 2, tn = ±tn-1 ±tn-2, where each ± sign is independent and either or - with probability 1/2 - it is not even obvious if |tn| should increase with n. Our main result is that: |tn|^(1/n) -> 1:13198824... as n->Inf with probability 1."
Random Fibonacci Sequence is a Matlab script for Mathematics scripts design by Giuseppe Cardillo.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris
Random Fibonacci Sequence script details 
