Results 1 to 10 of about 83 (68)
Tribonacci numbers that are concatenations of two repdigits. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2020 Let $ (T_{n})_{n\ge 0} $ be the sequence of Tribonacci numbers defined by $ T_0=0 $, $ T_1=T_2=1$, and $ T_{n+3}= T_{n+2}+T_{n+1} +T_n$ for all $ n\ge 0 $. In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two ...
Ddamulira M.
europepmc +6 more sources
Repdigits as sums of three Padovan numbers. [PDF]
Bol Soc Mat Mex, 2020 AbstractLet $$ \{P_{n}\}_{n\ge 0} $${Pn}n≥0 be the sequence of Padovan numbers defined by $$ P_0=0 $$P0=0, $$ P_1 =1=P_2$$P1=1=P2, and $$ P_{n+3}= P_{n+1} +P_n$$Pn+3=Pn+1+Pn for all $$ n\ge 0 $$n≥0. In this paper, we find all repdigits in base 10 which can be written as a sum of three Padovan numbers.
Ddamulira M.
europepmc +8 more sources
Solutions of the Diophantine Equations Br = Js + Jt and Cr = Js + Jt
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Let Brr≥0, Jrr≥0, and Crr≥0 be the balancing, Jacobsthal, and Lucas balancing numbers, respectively. In this paper, the diophantine equations Br = Js + Jt and Cr = Js + Jt are completely solved. The solutions rely basically on Matveev’s theorem on linear forms in logarithms of algebraic numbers and a procedure of reducing the upper bound due to Dujella
Ahmed Gaber +2 more
wiley +1 more source
Special Number or a Mere Numerical Array? Effect of Repdigits on Judgments and Choices. [PDF]
Front Psychol, 2020 Honda H, Matsunaga S, Ueda K.
europepmc +1 more source
On some polynomial values of repdigit numbers [PDF]
Periodica Mathematica Hungarica, 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 ...
Nora Varga, Tunde Kovacs
exaly +6 more sources
Some of the next articles are maybe not open access.
Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences
Mathematics, 2023Murat Alan, Alaa Altassan
exaly
Repdigits base b as products of two Fibonacci numbers
Indian Journal of Pure and Applied Mathematics, 2021Fatih Erduvan +2 more
exaly
Repdigits base b as products of two Lucas numbers
Quaestiones Mathematicae, 2021Fatih Erduvan +2 more
exaly
On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits
Symmetry, 2022Yang Peng, Tianxin Cai
exaly
Repdigits base b as products of two Pell numbers or Pell–Lucas numbers
Boletin De La Sociedad Matematica Mexicana, 2021Fatih Erduvan +2 more
exaly