Results 81 to 90 of about 1,083 (122)
On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]
Bol Soc Mat Mex, 2021 Ddamulira M.
europepmc +1 more source
Quasipolynomial Solutions to the Hofstadter Q-Recurrence [PDF]
arXiv, 2015 In 1991, Solomon Golomb discovered a quasilinear solution to Hofstadter's Q-recurrence. In this paper, we construct eventual quasipolynomial solutions of all positive degrees to Hofstadter's recurrence.
arxiv
Symmetries related to domino tilings on a chessboard [PDF]
arXiv, 2016 In this paper we study different kinds of symmetries related to the domino tilings of chessboards.
arxiv
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
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A Conic Section Problem Involving the Maximum Generalized Golden Right Triangle [PDF]
arXiv, 2016 An interesting conic section problem involving the maximum generalized golden right triangle $T_2$ is solved, and two simple constructions of $T_2$ are shown.
arxiv
On a variant of Pillai's problem involving S-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
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Some elementary observations on Narayana polynomials and related topics [PDF]
arXiv, 2016 We give an elementary account of generalized Fibonacci and Lucas polynomials whose moments are Narayana polynomials of type A and type B.
arxiv
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]
Ramanujan J, 2021 Ddamulira M, Luca F.
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Arithmetic Functions of Balancing Numbers [PDF]
arXiv, 2018 Two inequalities involving the Euler totient function and the sum of the $k$-th powers of the divisors of balancing numbers are explored.
arxiv
Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers
Annales Mathematicae Silesianae, 2019 In this paper, we obtain a closed form for F?i=1k${F_{\sum\nolimits_{i = 1}^k {} }}$, P?i=1k${P_{\sum\nolimits_{i = 1}^k {} }}$and J?i=1k${J_{\sum\nolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and ...
Bilgici Göksal, Şentürk Tuncay Deniz
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