Results 61 to 70 of about 161 (91)
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
Perrin numbers that are palindromic concatenations of two repdigits [PDF]
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
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Lucas Numbers that are Palindromic Concatenations of Two Distinct Repdigits [PDF]
Herbert Batte
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On Repdigits as Sums of Fibonacci and Tribonacci Numbers [PDF]
In this paper, we use Baker’s theory for nonzero linear forms in logarithms of algebraic numbers and a Baker-Davenport reduction procedure to find all repdigits (i.e., numbers with only one distinct digit in its decimal expansion, thus they can be seen as the easiest case of palindromic numbers, which are a ”symmetrical” type of numbers) that can be ...
Pavel Trojovský
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Aliquot Cycles of Repdigits [PDF]
Abstract.Here we show that the only aliquot cycle consisting only of rep-digits in base 10 is the cycle consisting of the perfect number 6.
Florian Luca
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Products of three Fibonacci numbers that are repdigits [PDF]
The authors prove that the largest instance of a product of three Fibonacci numbers being a repdigit is \(55\) (this is a product of three Fibonacci numbers, with two of such factors being \(1\)). The proof uses an approach via Baker's method to get an astronomical bound on the length (number of digits) of the repdigit in question (in this case \(3 ...
Alan, Murat, Alan, Kadriye Simsek
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Associated Pell numbers which are repdigits or concatenation of two repdigits
Boletin De La Sociedad Matematica Mexicana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zafer Siar +2 more
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Repdigits in Euler functions of associated pell numbers
Let \(\{Q_n\}\) denotes the sequence of numbers defined by \[ Q_0=1;~Q_1=1;~Q_{n+1}=2Q_n+Q_{n-1},~n\geq 1. \] Using elementary number theoretic notions, the following main result is proved: Theorem. Let \(d\in \{1,\ldots,9\}\) and \(m\in \mathbb{N}\).
G K Panda, Panda G K
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k-Pell Numbers as Product of Two Repdigits
Mediterranean Journal of Mathematics, 2022The paper deals with the investigation of generalized Pell numbers of order \(k\), which are products of two repdigits. Since last two-three decades, there has been a lot of studies that involves the search of repdigits either in a particular sequence or the sums or products of sequential terms.
Salah Eddine Rihane, Rihane Salah Eddine
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An Explicit Bound for Aliquot Cycles of Repdigits
Integers, 2012Abstract.We find an explicit bound, in terms ...
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