Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries
Taras Goy,
Mark Shattuck
Abstract:Let un
= un
(k) denote the generalized Leonardo number defined recursively by un
= un−
1 + un−
2 + k for n ≥ 2, where u
0 = u
1 = 1. Terms of the sequence un
(1) are referred to simply as Leonardo numbers. In this paper, we find expressions for the determinants of several Toeplitz–Hessenberg matrices having generalized Leonardo n… Show more
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