The objective was to determine the exact moisture percentage for formation of pellets from banana peel, residues candies, and bromatological analysis final product. For peel banana, 10 different dehydration times were performed: zero; two; four; six; eight; ten; twelve; fourteen; sixteen eighteen hours dehydration, with four replicates each treatment. pellet 18.84% moisture. product presented i...

In 1991 Ferri, Faccio and D’Amico introduced and investigated two numerical triangles, called the DFF and DFFz triangles. Later Trzaska also considered the DFF triangle. And in 1994 Jeannin generalized the two triangles. In this paper, we focus our attention on the generalized Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas polynomials, and several numerical triangles deduce...

In [W2] West conjectured that there are 2(3n)!/((n+1)!(2n+1)!) two-stack sortable permutations on n letters. This conjecture was proved analytically by Zeilberger in [Z]. Later, Dulucq, Gire, and Guibert [DGG] gave a combinatorial proof of this conjecture. In the present paper we study generating functions for the number of two-stack sortable permutations on n letters avoiding (or containing ex...

We propose a generalization of an RSA-like scheme based on Rédei rational functions over the Pell hyperbola. Instead of a modulus which is a product of two primes, we define the scheme on a multi-factor modulus, i.e. on a product of more than two primes. This results in a scheme with a decryption which is quadratically faster, in the number of primes factoring the modulus, than the original RSA...

In this paper, we completely describe those recurrence sequences which have infinitely many terms in the solution sets of generalized Pell equations. Further, give an upper bound for number such when there are only finitely them.

We provide a criterion for the central norm to be any value in the simple continued fraction expansion of √ D for any non-square integer D > 1. We also provide a simple criterion for the solvability of the Pell equation x2 − Dy2 = −1 in terms of congruence conditions modulo D.

In this paper we present applications of some special numbers obtained from a difference equation of degree three, especially in the Coding Theory. As a particular case, we obtain the generalized Pell-Fibonacci-Lucas numbers, which were extended to the generalized quaternions.