WebSep 20, 2024 · Here, Horadam sequence [ 19] is a special second-order sequence like Fibonacci, Pell, Lucas, etc. It is assumed that k ≠ 0 and f2 ( k ) + 4 g ( k ) > 0 throughout the section. Binet’s formulas for integer sequences are useful tools to derive many well-known identities. They are given in the following results: Theorem 2.1 (Binet Formula [ 18 ]) WebIn this work, we present some matrix representations associated with the Horadam quaternions which are defined by Wn=wn+wn+1i+wn+2j+wn+3k, where the c…
Chapter 2 On the Generalized k-Horadam-Like …
WebJun 12, 2016 · The 4 th Generalisation: Horadam Sequences. Now we allow initial values A 0 and A 1 to be any two integers, while the recursive formula remains A N = a A N-1 + b A N-2. 2 nd-order linear recurrence sequences have been characterised in … WebA Generalized Fibonacci Sequence A. F. Horadam Published 1 May 1961 Mathematics American Mathematical Monthly View via Publisher users.dimi.uniud.it Save to Library Create Alert Cite 319 Citations Citation Type More Filters Generalized Fibonacci Numbers: Sum Formulas of the Squares of Terms Y. Soykan Mathematics 2024 maxim\u0027s bakery locations
Some results on Horadam quaternions - ScienceDirect
WebMar 1, 2024 · In this paper, by applying finite operator to the Horadam sequence, we define the Horadam finite operator sequences. We not only give some special cases of this new sequences but also investigate… Expand 4 Save Alert References SHOWING 1-9 OF 9 REFERENCES Generalizations of the Fibonacci and Lucas polynomials B. Djordjevic … WebJan 1, 2013 · The Horadam numbers H n (a, b; r, s) or H n are defined by the recurrence relation H 0 = a, H 1 = b, H n+2 = rH n+1 + sH n , n ≥ 0. ... On the Third-order Horadam and … WebJun 12, 2024 · Ahmet Dasdemir Horadam introduced a new generalized sequence of numbers, describing its key features and the special sub-sequences that are obtained … hernan y la champions liga 2022