Milica Anđelić, C.M. da Fonseca (2021) Determinantal representations for the number of subsequences without isolated odd terms, Notes on Number Theory and Discrete Mathematics 27 (2021) 116-121, 10.7546/nntdm.2021.27.4.116-121
Abstract. In this short note we propose two determinantal representations for the number of subsequences without isolated odd terms are presented. One is based on a tridiagonal matrix and other on a Hessenberg matrix. We also establish a new explicit formula for the terms of this sequence based on Chebyshev polynomials of the second kind.