Horadam numbers
Web13 nov 2024 · In this paper, we discussed an extended version of dual-hyperbolic balancing numbers, dual-hyperbolic Horadam numbers, and dual-hyperbolic k-balancing numbers.It seems interesting to complement these results by matrix representation, which is another way to generate the considered generalizations of balancing numbers and their related … Web13 ott 2024 · We then use the Horadam numbers to define a new set of numbers that generalizes all these types of numbers, and we call it bicomplex Horadam numbers. We also prove some important identities …
Horadam numbers
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WebThe Horadam family name was found in the USA in 1920. In 1920 there were 3 Horadam families living in Texas. This was 100% of all the recorded Horadam's in the USA. Texas …
WebHoradam is a surname. Notable people with this name include: David Horadam (1883–1915), Australian rugby player. Eleanor Mollie Horadam (1921–2002), English … WebA. F. Horadam Pages 139-153 Some Notes on Fibonacci Binary Sequences Yasuichi Horibe Pages 155-160 Congruences for Weighted and Degenerate Stirling Numbers F. T. Howard Pages 161-170 An Inverse Theorem on Fibonacci Numbers Naotaka Imada Pages 171-179 Previous of 2 Back to top About this book
Web1 dic 2024 · Fundamental properties of extended Horadam numbers. G. Y. Şentürk, N. Gürses, S. Yüce. Published 1 December 2024. Mathematics. Notes on Number Theory … Web4 gen 2024 · In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations …
WebOn some properties of Horadam polynomials 1247 where A1 = bx− aβ p2x2 +4q,A2 = aα−bx p2x2 +4q. (15) Taking x = 1 in (13,14), we have the generating function and …
WebIn this note, we introduce a very simple approach to obtain Horadam identities with binomial coe cients including an additional parameter. Many known Fibonacci identities (as well as polynomial identities) will follow im-mediately as special cases. Keywords: Horadam number, Fibonacci number, binomial transform AMS Subject Classi cation: 11B37 ... b&b hair salon mermaid beachWebIn this paper, we introduce the incomplete Horadam numbers Wn(k), and hyper-Horadam numbers W n , which generalize the Horadam’s numbers defined by the recurrence Wn = pWn−1 + qWn−2, with W0 = a and W1 = b. We give some combinatorial properties. As an application, we evaluate a lower and upper bounds for the spectral norms of r-circulant … b&b guatemalaWebHoradam number generalized Fibonacci number generalized Fibonacci matrix generalized Pascal matrix 2010 Mathematics Subject Classifications: 05A10 11B39 15A09 Disclosure No potential conflict of interest was reported by the authors. Additional information Funding b&b guatemala teléfonoWeb24 mar 2024 · A generalization of the Fibonacci numbers defined by the four constants (p,q,r,s) and the definitions H_0=p and H_1=q together with the linear recurrence equation H_n=sH_(n-1)+rH_(n-2) for n>1. With p=0, q=1, r=1, and s=1, the Horadam sequence … b&b hair salon near meWebhyper-Lucas numbers and their generalizations by using a symmetric algo-rithm obtained by the recurrence relation a k n = ua k 1 n + va k n 1. We point out that this algorithm can be applied to hyper-Fibonacci, hyper-Lucas and hyper-Horadam numbers. Keywords: Hyper-Fibonacci numbers; hyper-Lucas numbers MSC: 11B37; 11B39; 11B65 1. Introduction b&b gujan mestrasWebIn this paper, we introduce the incomplete Horadam numbers Wn (k), and hyper-Horadam numbers Wn (k), which generalize the Horadam’s numbers defined by the recurrence … b&b habitat cataniaWeb1 gen 2012 · Let k be any positive real number and f (k), g (k) are scaler-value polynomials. For n ≥ 0 and f 2 (k) + 4 g (k) > 0, the generalized k-Horadam sequence {H k, n} n ∈ N … b&b hamburg harburg