Lucas numbers

Lucas numbers

[′lü·kəs ‚nəm·bərz]
(mathematics)
The terms of the Fibonacci sequence whose first two terms are 1 and 3.
References in periodicals archive ?
Fibonacci and Lucas Numbers, 1969, The Fibonacci Association, Santa Clara, 1979.
Vajda: Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications, 1989, Dover Publications, Inc.
The problem of finding for Fibonacci and Lucas numbers of a particular form has a very rich history.
In this paper, we are interested in Fibonacci and Lucas numbers which are sum of three perfect powers of some prescribed distinct bases.
Division of Science, Mathematics, and Engineering--USC Sumter Connections between Fibonacci Numbers and Lucas Numbers
By setting x = 1 in these corollaries, we can easily deduce the following interesting identity involving the Fibonacci numbers and the Lucas numbers.
And the many interrelations that continue to be found between Fibonacci numbers, Lucas numbers, the golden section, and geometrical patterns in nature are startling enough to call for periodic international conferences to discuss them.
Lahr, "Fibonacci and Lucas Numbers and the Morgan-Voyce Polynomials in Ladder Network and in Electric Line Theory," Fibonacci Numbers and Their Appl.
The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers.
n]) > n x K(a); The Fibonacci numbers and the Lucas numbers do not exist in the sequence {K(n)}; Let C be the continued fraction of the sequence {K(n)}, then C is convergent and 2 < C < 3; K([2.
have widely applications in many fields [1-4], contact closely with Fibonacci numbers, Lucas numbers [5-6], and so on.
On some identities involving Lucas numbers, Pure and applied Math.