Generating Matrices for Weighted Sums of Second Order Linear Recurrences
Emrah Kiliç
TOBB Economics and Technology University
Mathematics Department
06560 Sogutozu, Ankara
Turkey
Pantelimon Stănică
Naval Postgraduate School
Applied Mathematics Department
Monterey, CA 93943
USA
Abstract:
In this paper, we give fourth order recurrences and generating
matrices for the weighted sums of second order recurrences. We derive by matrix
methods some new
explicit formulas and combinatorial representations, and
some relationships between the permanents of certain superdiagonal
matrices and these sums.
Full version: pdf,
dvi,
ps,
latex
(Concerned with sequence
A001924.)
Received August 19 2008;
revised version received February 10 2009.
Published in Journal of Integer Sequences, February 14 2009.
Return to
Journal of Integer Sequences home page
