Results 31 to 40 of about 198 (98)

Padovan numbers as difference of two repdigits

, 2023
In this paper, we find all Padovan numbers which can be written as are difference of two repdigits. It is shown that all Padovan numbers which can be written as a difference of two repdigits are P-k is an element of {2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37,

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On some polynomial values of repdigit numbers [PDF]

Electronic Notes in Discrete Mathematics, 2013
Let \[ f_{k,m}(x)=\frac{x(x+1)\ldots(x+k-2)((m-2)x+k+2-m)}{k!} \] be the \(m\)th order \(k\)-dimensional polygonal number, where \(k\geq 2\) and \(m\geq 3\) are fixed integers. As special cases for \(f_{k,3}\) we get the binomial coefficient \(\binom{x+k-1}{k}\), for \(f_{2,m}(x)\) and \(f_{3,m}(x)\) we have the corresponding polygonal and pyramidal ...
Kovács, Tünde, Péter, Gyöngyvér, Varga, Nóra   +2 more
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Perrin numbers expressible as sums of two base b repdigits [PDF]

, 2021
In this paper we study Perrin numbers that can be expressed as sums of two base b repdigits. This can be done using linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction ...
Bhoi, Khisan, Ray, Prasanta Kumar
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Almost repdigits in balancing and Lucas-balancing sequences [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits.
Manasi K. Sahukar, Hussain Basha
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On the Euler function of repdigits [PDF]

Czechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perrin numbers and distinct repdigits [PDF]

, 2020
We determine all Perrin numbers that are concatenations of two repdigits.
Mahadi Ddamulira, Toboka Chalebgwa
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Sum of two repdigits a square

Integers, 2016
A \emph{repdigit} is a natural number greater than 10 which has all of its base-10 digits the same. In this paper we find all examples of two repdigits adding to a square. The proofs lead to interesting questions about consecutive quadratic residues and non-residues, and provide an elementary application of elliptic curves.
Bart Goddard, Jeremy Rouse
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Narayana numbers as sums of two base b repdigits [PDF]

, 2022
In this study, we find all Narayana numbers which are expressible as sums of two base b repdigits. The proof of the main result uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction ...
Patel, Bijan Kumar, Ray, Prasanta Kumar, Bhoi, Kisan   +2 more
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Repdigits in k-Lucas sequences

Proceedings - Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bravo, Jhon J., Luca, Florian
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On repdigits as product of $k$-Fibonacci and $k$-Lucas numbers [PDF]

Mathematica Bohemica
For an integer $k\geq2$, let $(F_n^{(k)})_{n\geq-(k-2)}$, $(L_n^{(k)})_{n \geq-(k-2)}$ be $k$-Fibonacci and $k$-Lucas sequences, respectively. For these sequences the first $k$ terms are $0,\ldots,0,1$ and $0,\ldots,0,2,1$, respectively, and each term ...
Safia Seffah, Salah Eddine Rihane, Alain Togbé   +2 more
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