As one would expect, these polynomials possess many properties of the Fibonacci sequence which, of course, is just the integral sequence {f (1)}. However, a most surprising result is that f (x) isâ€¦ (More)

The aim of this paper is to prove that given a linear recurrence sequence U = kb uâ€ž +z = uâ€ž + , + uâ€ž, n w 1, u t =1, uz > u l , then the set of positive integers can be partitioned uniquely into twoâ€¦ (More)

In this paper we are concerned with a question that has already been answered, involving Fibonacci-type sequences and their characteristic numbers. We are only interested in primitive sequencesâ€¦ (More)

C. B. Allendoerfer, N. C. Ankeny, T. M. Apostol, B. H. Arnold, M. G. Arsove, G. A. Baker, R. W. Ball, C. R. Ballantine, J. P. Ballantine, R. A. Beaumont, R. F. Bell, J. S. Biggerstaff, Z. W.â€¦ (More)

In [2] the Zeckendorf Theorem is extended to a class of sequences obtained from the generalized Fibonacci polynomials; in particulars an analogous theorem holds for the generalized Fibonacciâ€¦ (More)