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ˇ Cerin, On sums of squares of odd and even terms of the Lucas sequence, Proccedings of the 11th Fibonacci Conference , to appear.
r -bonacci numbers; there are sequences in both families that grow at different rates (the Fibonacci sequence, the Tanny sequence, and an eventually constant sequence can all occur as
The case k being an even number in ( 12 ) gives a sophisticated identity for Fibonacci and Lucas numbers which was asked by Hoggatt as an advanced problem in [ 1 ]... Suppose that
n -step sequences are nearly devoid of primes, the Lucas n -step sequences are
Stanica, Generating functions, weighted and non-weighted sums for powers of second- order recurrence sequences, Fibonacci Quart. Stanica, Factorizations of binary polynomial
In fact a sequence of non-negative integers satisfying the Fibonacci recurrence is realizable if and only if it is a non-negative integer multiple of the Lucas sequence (see [13],
to give a self-contained proof of our Theorem 1 up to the knowledge of perfect powers in the Fibonacci and Lucas sequence [1]. It would be interesting to give a completely
The distribution of mimic numbers following a certain sequence of divisibility consid- ered from the series of natural numbers is an interesting study.. The mimic number of the
