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

步兵

Modicum

Adaptive Educational Hypermedia Systemsal elements in these sequences. Restrictions on n such that F. = 0 (mod d) can always be determined. However, for n ε{5, 8, 10, 12, 13, 15, 16, 17, 20} there does not exist an n-value such that L. = 0 (mod d).

旧石器

Book 1988 Australia xiii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERN A TIONAL COMMITTEE Bergum, G., Chairman Philippou, A. (Greece), Chairman Edgar, H., Co-chalrman Horadam, A. (Australia), Co-chalrman Bergum, G. (U.s.A.) Thoro, D. Kiss, P. (Hungary) Johnson, M. Long, C. (U.S.A.) Lange, L.

FECK

Fermat-Like Binomial Equations,resent 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.

capillaries

Symmetric Recursive Sequences Mod M,e, 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.

Favorable

effrontery

A Congruence Relation for a Linear Recursive Sequence of Arbitrary Order,ecomes 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

orthodox

Fibonacci Numbers and Groups,of it which are relevant to the present paper. In the remaining sections we discuss links, occurring in our work over a number of years, between this topic and the Fibonacci and Lucas sequences of numbers (f.) and (g.)

Corroborate

Mystic

On the Representation of Integral Sequences {Fn/d} and {Ln/d} as Sums of Fibonacci Numbers and as S/1/, the purpose of this study is the development of relationships which enable prediction of the NUMBER of addends in these representations. Integral sequences {F./d} and {L./d} are considered such that d, with 2 is a predetermined integer and n is subject to appropriate conditions to assure integr