Results 41 to 50 of about 111 (68)
Some Diophantine Equations involving associated Pell numbers and repdigits
In this paper, we explore the relationship between repdigits and associated Pell numbers, specifically focusing on two main aspects: expressing repdigits as the difference of two associated Pell numbers, and identifying which associated Pell numbers can ...
Panda, Gopal Krishna +2 more
core
Repdigits as difference of two balancing or Lucas-balancing numbers
Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we study the problem of writing repdigits as the difference of two balancing or Lucas-balancing numbers.
Panda, Gopal Krishna +2 more
core
Збалансовані числа, які є конкатенацією трьох репдиджитів
In this study, it is shown that the only balancing numbers which are concatenations of three repdigits are $204$ and $1189$. The proof depends on lower bounds for linear forms and some tools from Diophantine approximation.У цій статті ми встановили, що ...
Keskin, R., Erduvan, F.
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Narayana\u27s cows numbers which are concatenations of three repdigits in base $ρ$
Narayana\u27s sequence is a ternary recurrent sequence defined by the recurrence relation $\mathcal{N}_n=\mathcal{N}_{n-1}+\mathcal{N}_{n-3}$ with initial terms $\mathcal{N}_0=0$ and $\mathcal{N}_1=\mathcal{N}_2=\mathcal{N}_3=1$.
Tiebekabe, Pagdame +3 more
core
On repdigits as product of consecutive Fibonacci numbers
Let (F$_{n}$)$_{n\geq0}$ be the Fibonacci sequence. In 2000, F. Luca proved that F10 = 55 is the largest repdigit (i.e. a number with only one distinct digit in its decimal expansion) in the Fibonacci sequence. In this note, we show that if Fn · · · F$
Marques, Diego, Togbé, Alain
core
Automatic Item Generation Measurement Models Respecting the Stochastic Sampling Space for Cross-Classified and Two-Level Sampling of Subjects and Incidentals. [PDF]
Jahn P, Jendryczko D, Nussbeck FW.
europepmc +1 more source
Padovan Numbers that are Concatenations of Two Distinct Repdigits
Ddamulira, M.
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Perrin numbers that are palindromic concatenations of two repdigits
Let $ \{P_n\}_{n\geq 0} $ be the sequence of Perrin numbers defined by $P_0=3$, $P_1=0$,$P_2=2$ and $P_{n+3}=P_{n+1}+P_{n}$ for all $n \geq 0$. In this paper, we determine all Perrin numbers that are palindromic concatenations of two repdigits.Comment ...
Batte, Herbert, Kaggwa, Prosper
core
A diophantine equation in k-Fibonacci numbers and repdigits
Gomez, C. +5 more
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