Convolution of second order linear recursive sequences II.

Tamás Szakács 1
  • 1 Institute of Mathematics and Informatics, Eszterházy Károly University, H-3300 Eger, , Eszterházy Tér , Hungary


We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.

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  • [1] T. Szakács: Convolution of second order linear recursive sequences I. . Annales Mathematicae et Informaticae 46 (2016) 205-216.

  • [2] M. Griffths, A. Bramham: The Jacobsthal numbers: Two results and two questions. The Fibonacci Quarterly 53 (2) (2015) 147-151.

  • [3] OEIS Foundation Inc.: The On-Line Encyclopedia of Integer Sequences.

  • [4] Z. Zhang, P. He: The Multiple Sum on the Generalized Lucas Sequences. The Fibonacci Quarterly 40 (2) (2002) 124-127.

  • [5] W. Zhang: Some Identities Involving the Fibonacci Numbers. The Fibonacci Quarterly 35 (3) (1997) 225-229.

  • [6] S. Vajda: Fibonacci & Lucas numbers, and the golden section. Ellis Horwood Books In Mathematics And Its Application (1989).

  • [7] J.P. Jones, P. Kiss: Linear recursive sequences and power series. Publ. Math. Debrecen 41 (1992) 295-306.


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