INTRODUCTION High-quality cardiopulmonary resuscitation (CPR) is critical for successful cardiac arrest outcomes. Mechanical devices may improve CPR quality. We simulated a prehospital cardiac arrest, including patient transport, and compared the performance of the LUCAS™ device, a mechanical chest compression-decompression system, to manual CPR. We hypothesized that because of the movement inv...

Generalizations of Binet’s theorem are used to produce generalized Pell sequences from two families of silver means. These Pell sequences are also generated from the family of Fibonacci polynomials. A family of Pell-Lucas sequences are also generated from the family of Lucas polynomials and from another generalization of Binet’s formula. A periodic set of cyclic constants are generated from the...

In this paper we consider certain generalizations of the well-known Fibonacci and Lucas numbers, the generalized Fibonacci and Lucas p-numbers. We give relationships between the generalized Fibonacci p-numbers, Fp(n), and their sums, Pn i1⁄41F pðiÞ, and the 1-factors of a class of bipartite graphs. Further we determine certain matrices whose permanents generate the Lucas p-numbers and their sum...

In this work, we introduce a symmetric algorithm obtained by the recurrence relation an = a k n−1+a k−1 n . We point out that this algorithm can be apply to hyperharmonic-, ordinary and incomplete Fibonacciand Lucas numbers. An explicit formulae for hyperharmonic numbers, general generating functions of the Fibonacciand Lucas numbers are obtained. Besides we define ”hyperfibonacci numbers”, ”hy...

In [3], H. Belbachir and F. Bencherif generalize to bivariate polynomials of Fibonacci and Lucas, properties obtained for Chebyshev polynomials. They prove that the coordinates of the bivariate polynomials over appropriate basis are families of integers satisfying remarkable recurrence relations. [7], Mario Catalani define generalized bivariate polynomials, from which specifying initial conditi...