Titlebook: Applications of Fibonacci Numbers; Volume 2 A. N. Philippou,A. F. Horadam,G. E. Bergum Book 1988 Springer Science+Business Media B.V. 1988

medieval

Functions of the Kronecker Square of the Matrix Q,As for the well-known matrix Q, [1], a number of matrices can be defined so that their successive powers contain entries related to certain Fibonacci numbers

逗它小傻瓜

On the K-TH Order Linear Recurrence and Some Probability Applications,Let k be a fixed integer greater than one, and let p and x be real numbers in the intervals (0, 1) and (0, ∞), respectively.

corn732

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mortuary

More on the Problem of Diophantus,Recently, a number of articles have appeared in the literature which deal with finding a set of four numbers such that the product of any two different members when increased by n is a perfect square, [1] to [3] and [6] to [9].

MUTE

First Failures,Vern Hoggatt Jr. had an insatiable appetite for problem solving at all levels of mathematics. Thus, it is not surprising that he so often exhibited his contagious enthusiasm for the types of ”classroom anecdotes” contained in this paper. I fondly recall his support.

全国性

Analyzing Person Information in News Videoresent this conjecture, which is also called ”Fermat’s Last Theorem”, is known to be true for all n ≤ 125 000 [1]. Moreover, the recent work of G. Faltings (see [1]) implies that, for each n ≥ 3, (1) has at most a finite number of solutions (x, y, z), with (x, y, z) = 1 and xyz ≠ 0.

Exploit

Biometrics for User Authenticatione, one of the main targets for this study. Indeed, {log F.} is uniformly distributed mod 1, so that {F.} obeys Benford’s law, detailed study of which is carried out in [6]. In this note we are going to treat uniform distribution properties of certain recursive integer sequences in residue classes.

Congruous

Adaptive Educational Hypermedia Systemsd R. = A. The terms of R are called Lucas numbers. We shall denote the roots of the characteristic polynomial . by . and .. We may assume that |.| ≥ |.| and the sequence is not degenerate, that is, AB ≠ 0, A. + 4B ≠ 0 and . is not a root of unity. In this case, as it is wellknown, the terms of the s

insurrection

Architecture of Commercial News Systemsecomes the null sequence. In this case Theorems 1 and 2 below are trivial.) In (1) m ≥ 0 is a fixed integer. We referee to (1) as an (m+1)th order recurrence relation or an (m+1)th order difference equation. Thus {T.} is an integer sequence. The purpose of our present paper is to generalize results