(±1)-INVARIANT SEQUENCES AND TRUNCATED FIBONACCI SEQUENCES OF THE SECOND KIND

Title & Authors
(±1)-INVARIANT SEQUENCES AND TRUNCATED FIBONACCI SEQUENCES OF THE SECOND KIND
CHOI GYOUNG-SIK; HWANG SUK-GEUN; KIM IK-PYO;

Abstract
In this paper we present another characterization of ($\small{{\pm}1}$)-invariant sequences. We also introduce truncated Fibonacci and Lucas sequences of the second kind and show that a sequence $\small{x\;{\in}\;R^{\infty}}$ is (-1)-invariant(l-invariant resp.) if and only if $\small{D[_x^0]}$ is perpendicular to every truncated Fibonacci(truncated Lucas resp.) sequence of the second kind where $\small{D=diag((-1)^0,\; (-1)^1,\;(-1)^2,{\ldots})}$.
Keywords
($\small{{\pm}}$1)-invariant sequence;truncated Fibonacci sequence of the second kind;
Language
English
Cited by
References
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