Horadam numbers
WebThe explicit formula for Horadam sequence is given as hn = a n 2 k=0 n−k k pn−2kq k+ b p − a n−1 2 k=0 n−k−1 k pn−2 q (9) where n ≥ 1 and a,b,p,q ∈ Z (see [1]). In [9, 11], the authors investigate the some properties of Horadam numbers and give the relations between Chebyshev polynomials and Horadam numbers. Web16 mar 2024 · This article deals with a Horadam type of generalized numbers involving four parameters. These numbers generalize several celebrated numbers in the literature such as the generalized Fibonacci, generalized Lucas, Fibonacci, Lucas, Pell, Pell-Lucas, Fermat, Fermat-Lucas, Jacobsthal, Jacobsthal-Lucas, balancing, and co-balancing numbers.
Horadam numbers
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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 … Web31 dic 2024 · Here we explore Horadam sequences whose orbit is dense within a 2D region of the complex plane, while the complex argument is uniformly distributed in an interval. This enables the design of a pseudo-random number generator (PRNG) for the uniform distribution, for which we test periodicity, correlation, Monte Carlo estimation of π , and …
Web1 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 … Webhybrid numbers and presented some combinatorial properties of these hybrid numbers. In [12Œ 18], Liana and Wloch introduced several hybrid number sequences and polynomials and gave various properties of them. In [20], Tan and Ait-Amrane examined the bi-periodic Horadam hybrid numbers.
http://publikacio.uni-eszterhazy.hu/2857/1/AMI_43_from19to27.pdf 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
WebA master identity for Horadam numbers Kunle Adegoke [email protected] Department of Physics and Engineering Physics, Obafemi Awolowo University, 220005 …
Web3 gen 2024 · Horadam number, Horadam polynomial, Hybrid number References [1] A. F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Q., 3 (1965), 161-176. [2] A. F. Horadam, Generating functions for powers of a certain generalized sequence of numbers, Duke Math. J., 32 (1965), 437-446, . tausend tattoos sido lyricsWeb12 giu 2024 · Horadam introduced a new generalized sequence of numbers, describing its key features and the special sub-sequences that are obtained depending on the choices of initial parameters. This sequence and its sub-sequences are known as the Horadam, generalized Fibonacci, and generalized Lucas numbers, respectively. the cast of daddy day careWebIn 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 … tausha beardsleyWeb1 gen 2024 · In addition, Horadam numbers can be represent as w n (w 0 , w 1 ; p, q). For special w 0 , w 1 , p and q the equation These numbers have been studied from different … the cast of doctor strangeWeb10 gen 2024 · In this paper, we use the algebra methods, the properties of the r-circulant matrix and the geometric circulant matrix to study the upper and lower bound estimate problems for the spectral norms of a geometric circulant matrix involving the generalized k-Horadam numbers, and we obtain some sharp estimations for them. We can also give a … tausend trailer bandWeb25 gen 2024 · For more information on Horadam numbers, see for example, [8] and [9]. For some speci–c values of a;b;r and s, it is worth presenting these special Horadam numbers in a table as a speci–c name. In literature, for example, the following names and notations (see Table 1 and Table 2) are used for the special cases of r;s and initial values. 1 tausha andersonWeb12 giu 2024 · Abstract: Horadam introduced a new generalized sequence of numbers, describing its key features and the special sub-sequences that are obtained depending … tausend winter quests