Results 61 to 70 of about 133 (87)

Tribonacci numbers with two blocks of repdigits

Mathematica Slovaca, 2021
AbstractThe Tribonacci sequence is a generalization of the Fibonacci sequence which starts with 0,0,1 and each term afterwards is the sum of the three preceding terms. Here, we show that the only Tribonacci numbers that are concatenations of two repdigits are 13,24,44,81.
Jhon Jairo Bravo Grijalba, Eric Bravo
exaly   +3 more sources

Lucas numbers which are concatenations of three repdigits

Results in Mathematics, 2021
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Fatih Erduvan, Refik Keskin
exaly   +4 more sources

Repdigits as sums of four Pell numbers [PDF]

Boletín de la Sociedad Matemática Mexicana, 2018
Let \( (P_m)_{m\ge 0} \) be the sequence of \textit{Pell numbers} given by the linear recurrence; \( P_0=0 \), \( P_1=1 \), and \( P_{m+2} = 2P_{m+1}+ P_m \) for all \( m\ge 0 \). In the paper under review, the authors prove the following theorem, which is the main result in the paper. Theorem 1. All nonnegative integer solutions \( (m_1, m_2, m_3, m_4,
Florian Luca, Benedict Vasco Normenyo, Alain Togbé   +2 more
openaire   +2 more sources

Repdigits base b as products of two Lucas numbers

Quaestiones Mathematicae, 2021
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.Let (L-n) be the sequence of Lucas numbers defined byL(0)= 2, L-1= 1, andL(n)=Ln-1+L(n-2)forn >= 2. Let 0
Fatih Erduvan, Zafer Siar, Refik Keskin   +2 more
exaly   +2 more sources

Associated Pell numbers which are repdigits or concatenation of two repdigits

Boletín de la Sociedad Matemática Mexicana, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sai Gopal Rayaguru, Gopal Krishna Panda, Zafer Şiar   +2 more
openaire   +1 more source

Fibonacci and Lucas numbers as products of three repdgits in base g

Rendiconti Del Circolo Matematico Di Palermo, 2023
Recall that repdigit in base g is a positive integer that has only one digit in its base g expansion, i.e. a number of the form a(g^m-1)/(g−1), for some positive integers m ≥ 1, g ≥ 2 and 1 ≤ a ≤ g − 1.
Alain Togbé, Alan Filipin, Kouessi Norbert Adedji   +2 more
exaly   +2 more sources

Aliquot Cycles of Repdigits

Integers, 2012
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, Herman te Riele
openaire   +2 more sources

Finiteness results for Diophantine triples with repdigit values [PDF]

Acta Arithmetica, 2016
Florian Luca, István Pink
exaly   +3 more sources

Odd Repdigits to Small Bases Are Not Perfect

Integers, 2012
Abstract.We demonstrate, by considering each base in the range 2 through 9 ...
Kevin A. Broughan, Qizhi Zhou
openaire   +3 more sources

An Explicit Bound for Aliquot Cycles of Repdigits

Integers, 2012
Abstract.We find an explicit bound, in terms ...
openaire   +3 more sources