C.M. da Fonseca, A.G. Shannon (2023) On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence, Notes on Number Theory and Discrete Mathematics, Vol. 29, pp.557-563, 10.7546/nntdm.2023.29.3.557-563
Abstract. Recently, based on the Laplace transform of the characteristic polynomial of the Fibonacci sequence, Deveci and Shannon established a new sequence and analysed some of its properties. They disclosed in particular the odd terms. In this short note, we provide a matricial representation for this sequence as well as one in terms of the Chebyshev polynomials of the second kind. The subsequence of the even terms is also disclosed.