Results 41 to 50 of about 47,656 (155)

Balancing and Lucas-balancing Numbers Expressible as Sums of Two Repdigits

, 2021
See the abstract in the attached pdf.
Rayaguru, S.G., Panda, G.K.
openaire   +2 more sources

On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers

Mathematics
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Catarino   +2 more
doaj   +1 more source

k-Balancing Numbers and Pell’s Equation of Higher Orde [PDF]

, 2015
First time introduced in the year 1999, the balancing numbers are extensively studied. Each balancing number is associated with a Lucas-balancing number and are useful in the computation of balancing numbers of higher order.
Sahu, Juli
core  

Balancing numbers : some identities [PDF]

, 2014
This paper studies a problem in the theory of figurate numbers identifying and investigating those numbers which are polygonal in two ways - triangular and square.
Parida, Kaberi
core  

The Current Status of Historical Preservation Law in Regularory Takings Jurisprudence: Has the Lucas Missile Dismantled Preservation Programs? [PDF]

, 1995
This paper describes our NIHRIO system for SemEval-2018 Task 3 "Irony detection in English tweets". We propose to use a simple neural network architecture of Multilayer Perceptron with various types of input features including: lexical, syntactic ...
Catt, Michael, Nguyen, Dai Quoc, Nguyen, Dat Quoc, Trenell, Michael, Vu, Thanh, Vu, Xuan-Son   +5 more
core   +3 more sources

Balancing polynomials, Fibonacci numbers and some new series for $\pi$

, 2022
We evaluate some types of infinite series with balancing and Lucas-balancing polynomials in closed form. These evaluations will lead to some new curious series for $\pi$ involving Fibonacci and Lucas numbers.
Frontczak, Robert, Prasad, Kalika
core  

Diophantine triples in linear recurrence sequences of Pisot type [PDF]

, 2017
The study of Diophantine triples taking values in linear recurrence sequences is a variant of a problem going back to Diophantus of Alexandria which has been studied quite a lot in the past. The main questions are, as usual, about existence or finiteness
Fuchs, Clemens, Hutle, Christoph, Luca, Florian   +2 more
core   +3 more sources

Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers

Annales Mathematicae Silesianae
A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
Chimpanzo J., Otero-Espinar M.V., Borges A., Vasco P., Catarino P.   +4 more
doaj   +1 more source

On arithmetic functions of balancing and Lucas-balancing numbers [PDF]

, 2019
For any integers $ngeq1$ and $kgeq0,$ let $phi(n)$ and $sigma_{k}(n)$ denote the Euler phi function and the sum of the $k$-th powers of the divisors of $n$, respectively.
Prasanta Kumar Ray, Utkal Keshari Dutta
core   +1 more source

Pell and associated Pell braid sequences as GCDs of sums of $k$ consecutive Pell, balancing, and related numbers

, 2023
We consider the greatest common divisor (GCD) of all sums of $k$ consecutive terms of a sequence $(S_n)_{n\geq 0}$ where the terms $S_n$ come from exactly one of following six well-known sequences' terms: Pell $P_n$, associated Pell $Q_n$, balancing $B_n$
Mbirika, aBa, Schrader, Janee, Spilker, Jürgen   +2 more
core