Results 31 to 40 of about 1,822,465 (296)

Fibonacci numbers and Lucas numbers in graphs

Discrete Applied Mathematics, 2009
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Mariusz Startek, Andrzej Wloch, Iwona Wloch   +2 more
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Square-free Lucas d-pseudoprimes and Carmichael-Lucas numbers [PDF]

Czechoslovak Mathematical Journal, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carlip, W., Somer, L.
openaire   +2 more sources

Formulae of the Frobenius number in relatively prime three Lucas numbers [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2020
In this paper, we find the explicit formulae of the Frobenius number for numerical semigroups generated by relatively prime three Lucas numbers 2 , L L i i and Lil  for given integers i ≥ 3, l ≥ 4 .
Ratchanok Bokaew, Boonrod Yuttanan, Sukrawan Mavecha   +2 more
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Solution to a pair of linear, two-variable, Diophantine equations with coprime coefficients from balancing and Lucas-balancing numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Let Bₙ and Cₙ be the n-th balancing and Lucas-balancing numbers, respectively. We consider the Diophantine equations ax + by = (1/2)(a - 1)(b - 1) and 1 + ax + by = (1/2)(a - 1)(b - 1) for (a,b) ∈ {(Bₙ,Bₙ₊₁), (B₂ₙ₋₁,B₂ₙ₊₁), (Bₙ,Cₙ), (Cₙ,Cₙ₊₁)} and ...
R. K. Davala
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On Bicomplex Pell and Pell-Lucas Numbers

Communications in Advanced Mathematical Sciences, 2018
In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between ...
Fügen Torunbalcı Aydın
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A Study on Fibonacci and Lucas Bihypernomials

Discussiones Mathematicae - General Algebra and Applications, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
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On Pell and Pell−Lucas Hybrid Numbers [PDF]

, 2018
In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating
Szynal-Liana, Anetta, Włoch, Iwona
core   +1 more source

Period Lengths of the Incomplete Fibonacci and Incomplete Lucas Sequences Modulo m

Mathematics
In this paper, we investigate the periodic behavior of incomplete Fibonacci and Lucas numbers modulo a positive integer m. Let L(F,k,m) and L(L,k,m) denote the least positive periods of the incomplete Fibonacci and incomplete Lucas sequences modulo m ...
Nazmiye Yilmaz
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Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
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Almost neo cobalancing numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this work, we determined the general terms of almost neo cobalancing numbers, almost Lucas-neo cobalancing numbers and almost neo cobalancers in terms of cobalancing and Lucas-cobalancing numbers. We also deduced some results on relationship with Pell,
Ahmet Tekcan, Ecem Akgüç
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