Results 21 to 30 of about 2,007,514 (150)

Summing Formulas for Generalized Tribonacci Numbers

Universal Journal of Mathematics and Applications, 2020
In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results.
Yüksel Soykan
doaj   +1 more source

On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences

Mathematics, 2020
In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
doaj   +1 more source

Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

Pell Coding and Pell Decoding Methods with Some Applications [PDF]

, 2020
We develop a new coding and decoding method using the generalized Pell $(p,i)$-numbers for $p=1$. The relations among the code matrix elements, error detection, and correction have been established for coding theory when $p=i=1$. We give two new blocking
Tas, Nihal, Yilmaz Ozgur, Nihal, Ucar, Sumeyra   +2 more
core   +1 more source

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
doaj   +1 more source

Generalized Pell-Padovan Numbers

, 2020
In this paper, we investigate the generalized Pell-Padovan sequences and we deal with, in detail, four special cases, namely, Pell-Padovan, Pell-Perrin, third order Fibonacci-Pell and third order Lucas-Pell sequences.
Yüksel Soykan, Soykan, Yüksel
core   +1 more source

On a new family of the generalized gauss k-pell-lucas numbers and their polynomials

, 2022
In this paper, we generalize the known Gauss Pell-Lucas numbers, and call such numbers as the generalized Gauss k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gauss k-Pell-Lucas numbers and the known Gauss Pell-Lucas ...
Kaya, Ahmet, Özimamoğlu, Hayrullah
core  

Generalized Olivier Numbers

, 2023
In this paper, we introduce and investigate the generalized Olivier sequences and we deal with, in detail, two special cases, namely, Olivier and Olivier-Lucas sequences.
Yüksel Soykan
core   +1 more source

Generalized John Numbers [PDF]

, 2022
In this paper, we define and investigate the generalized John sequences and we deal with, in detail, two special cases, namely, John and John-Lucas sequences.
Soykan, Yüksel
core   +2 more sources

From Probation to Partnership: Building Equitable Systems of Support in Community Colleges

New Directions for Community Colleges, EarlyView.
ABSTRACT Community colleges serve as critical gateways to higher education for diverse student populations, yet traditional academic probation systems often exacerbate inequities by penalizing students facing systemic and personal challenges. This practitioner–scholar case study examines Clark State College's Academic Engagement Program (AEP), an ...
Elecia V. Spain, Michael B.Key
wiley   +1 more source