A second-order difference equation with sign-alternating coefficients
Carlos M. da Fonseca, Can Kizilates, Nazlihan Terzioglu
article (Uluslararası, Hakemli) | Yazar(lar): Carlos M. da Fonseca, Can Kizilates, Nazlihan Terzioglu | Yıl: 2023 | Dergi/Kurum: KUWAIT JOURNAL OF SCIENCE | İndeks: WOS.SCI | DOI: 10.48129/kjs.20425 | Anahtar Kelimeler: Chebyshev polynomials of the second kind, difference equations, Fibonacci numbers, in-teger sequence
We provide an explicit solution for the terms of the sequence (xn,k) defined byxn,k = xn-1,k - (-1)L(n-2)/k]xn-2,k ,for n 3, setting x1,k = 1 and x2,k = 0. Several particular examples are considered.