Polymatrix and generalized polynacci numbers
组合数学
2007-05-23 v1
摘要
We consider -th order linear recurrences that can be thought of as generalizations of the Lucas sequence. We exploit some interplay with matrices that again can be considered generalizations of the Fibonacci matrix. We introduce the definition of reflected sequence and inverted sequence and we establish some relationship between the coefficients of the Cayley-Hamilton equation for these matrices and the introduced sequences.
引用
@article{arxiv.math/0210201,
title = {Polymatrix and generalized polynacci numbers},
author = {Mario Catalani},
journal= {arXiv preprint arXiv:math/0210201},
year = {2007}
}