Results 41 to 50 of about 133 (87)

On repdigits as product of consecutive Lucas numbers [PDF]

, 2018
Let (L-n)(n >= 0 )be the Lucas sequence. D. Marques and A. Togbe [7] showed that if F-n . . . Fn+k-1 is a repdigit with at least two digits, then (k, n) = (1, 10), where (F-n)(>= 0) is the Fibonacci sequence. In this paper, we solve the equation L-n . . .
Irmak, Nurettin, Togbe, Alain
core   +1 more source

Repdigits in k-generalized Pell sequence

, 2020
Let $k\geq 2$ and let $(P_{n}^{(k)})_{n\geq 2-k}$ be $k$-generalized Pell sequence defined by \begin{equation*}P_{n}^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+...+P_{n-k}^{(k)}\end{equation*} for $n\geq 2$ with initial conditions \begin{equation*}P_{-(k-2)}^{(k)}=P_{-(k-3)}^{(k)}=\cdot \cdot \cdot =P_{-1}^{(k)}=P_{0}^{(k)}=0,P_{1}^{(k)}=1.
Şiar, Zafer, Keskin, Refik
openaire   +2 more sources

On near-perfect numbers of special forms

, 2022
In this paper we discuss near-perfect numbers of various forms. In particular, we study the existence of near-perfect numbers in the Fibonacci and Lucas sequences, near-perfect values taken by integer polynomials and repdigit near-perfect numbers.Comment:
Hasanalizade, Elchin
core  

Repdigits Base B As Difference Of Two Fibonacci Numbers

, 2022
Bu yayın 06.11.1981 tarihli ve 17506 sayılı Resmî Gazete’de yayımlanan 2547 sayılı Yükseköğretim Kanunu’nun 4/c, 12/c, 42/c ve 42/d maddelerine dayalı 12/12/2019 tarih, 543 sayılı ve 05 numaralı Üniversite Senato Kararı ile hazırlanan Sakarya ...
Keskin, Refik, Erduvan, Fatih, Siar, Zafer   +2 more
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Padovan numbers that are concatenations of two repdigits [PDF]

, 2020
Let $ (P_{n})_{n\ge 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 =1=P_2$, and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\ge 0 $. In this paper, we find all Padovan numbers that are concatenations of two repdigits.
openaire   +1 more source

A Study on Arithmetic Functions and Diophantine Equations Associated with Balancing and Related Sequences

, 2020
A Lucas sequence is a binary recurrence sequences that includes as special cases, the Pell, the associatedPell, the balancing, the Lucasbalancing, the balancinglike and the associated balancinglike sequences.
Sahukar, Manasi Kumari
core  

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

Majdnem repdigit teljes hatványok

A diplomamunkában a B-majdnem repdigit számokkal, azon belül a majdnem repdigit számokkal foglalkozunk. B-majdnem repdigit számoknak nevezzük azon tízes számrendszerbeli számokat, melyeket B-alapra átváltva, a kapott számnak egy kivételével minden ...
Csillag, Balázs
core  

Almost Repdigits in $ k-$generalized Lucas Sequences

, 2023
Let $ k \geq 2 $ and $ ( L_{n}^{(k)} )_{n \geq 2-k} $ be the $k-$generalized Lucas sequence with initial condition $ L_{2-k}^{(k)} = \cdots = L_{-1}^{(k)}=0 ,$ $ L_{0}^{(k,}=2,$ $ L_{1}^{(k)}=1$ and each term afterwards is the sum of the $ k $ preceding ...
Altassan, Alaa, Alan, Murat
core  

Repdigit polygonal numbers

Matematikában repdigit számoknak nevezzük azokat az egész számokat, amelyeknek minden számjegye megegyezik. A tízes számrendszerben erre példa a 222, 55555, stb.
Varga, Péter
core