Results 1 to 10 of about 161 (91)

Special Number or a Mere Numerical Array? Effect of Repdigits on Judgments and Choices [PDF]

open access: yesFrontiers in Psychology, 2020
Previous studies have shown that people find special meaning in numerical arrays. In this article, we have focused on the features of numerical arrays, repdigits (e.g., “777”), and examined the effect of repdigits on judgments and choices.
Kazuhiro Ueda, Ueda Kazuhiro
exaly   +4 more sources

On repdigits powers in base beta [PDF]

open access: yesLietuvos Matematikos Rinkinys, 2022
The article presents formulas for powers of repdigits in the different numeral systems. This task can be used as an exercise for computer science students to help them master the corresponding mathematical apparatus.
Igoris Belovas
doaj   +5 more sources

Lucas Numbers Which Are Concatenations of Two Repdigits [PDF]

open access: yesMathematics, 2020
In this paper, we find all Lucas numbers written in the form c⋯cd⋯d¯, where c⋯cd⋯d¯ is the concatenation of two repdigits in base 10 with c,d∈{0,1,⋯,9}, c≠d and c>0.
Jiwen Zeng, Yunyun Qu
exaly   +4 more sources

Padovan numbers which are palindromic concatenations of two distinct repdigits [PDF]

open access: yesRevista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
International audienceIn this paper we determine all Padovan numbers that are palindromic concatenations of two ...
Mahadi Ddamulira   +2 more
exaly   +5 more sources

Lucas sequences and repdigits [PDF]

open access: yesMathematica Bohemica, 2022
Let $(G_n)_{n \geq1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are $\{U_n\}$ and $\{V_n\}$, respectively.
Hayder Raheem Hashim, Szabolcs Tengely
doaj   +3 more sources

Repdigits in the base $b$ as sums of four balancing numbers [PDF]

open access: yesMathematica Bohemica, 2021
The sequence of balancing numbers $(B_n)$ is defined by the recurrence relation $B_n=6B_{n-1}-B_{n-2}$ for $n\geq2$ with initial conditions $B_0=0$ and $B_1=1.$ $B_n$ is called the $n$th balancing number. In this paper, we find all repdigits in the base $
Refik Keskin, Fatih Erduvan
doaj   +6 more sources

Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences [PDF]

open access: yesMathematics, 2023
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 k-generalized Fibonacci sequence which are almost repdigits. In particular, we find all k-
Alaa Altassan, Murat Alan
doaj   +2 more sources

Repdigits as Product of Terms of k-Bonacci Sequences [PDF]

open access: yesMathematics, 2021
For any integer k≥2, the sequence of the k-generalized Fibonacci numbers (or k-bonacci numbers) is defined by the k initial values F−(k−2)(k)=⋯=F0(k)=0 and F1(k)=1 and such that each term afterwards is the sum of the k preceding ones.
Petr Coufal, Pavel Trojovský
doaj   +2 more sources

Repdigits as difference of two Fibonacci or Lucas numbers

open access: yesМатематичні Студії, 2021
In the present study we investigate all repdigits which are expressed as a difference of two Fibonacci or Lucas numbers. We show that if $F_{n}-F_{m}$ is a repdigit, where $F_{n}$ denotes the $n$-th Fibonacci number, then $(n,m)\in \{(7,3),(9,1),(9,2 ...
P. Ray, K. Bhoi
doaj   +1 more source

Solutions of the Diophantine Equations Br = Js + Jt and Cr = Js + Jt

open access: yesJournal 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

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