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Some relations on Lucas numbers and their sums

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Abstract

In this paper we consider some algebraic properties of Lucas numbers. In the rst section we give some preliminaries from Lucas and Fibonaccinumbers. In the second section, we derive explicit formulas for the Lucas num-bers Ln ;L2n and L2n +1 . In the third section we consider the sums of Lucasnumbers Ln ;L2n and L2n +1 and also their squares. In the third section, wegive another way for the sums of Lucas numbers. In the last section we consider the cross-ratio of four consecutive Lucas numbers Ln ;Ln +1 ;Ln +2 andLn +3 .

참고문헌 (16)

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