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In this note, we study the Lucas p-numbers and introduce the Lucas p-triangle, which generalize the Lucas triangle is defined by Feinberg. We derive an expansion for the Lucas p-numbers by using some properties of our triangle.  相似文献   
2.
In this note, we study the Fibonacci and Lucas p-numbers. We introduce the Lucas p-matrix and companion matrices for the sums of the Fibonacci and Lucas p-numbers to derive some interesting identities of the Fibonacci and Lucas p-numbers.  相似文献   
3.
In this note we introduce n-tribonacci triangle, which is similar to Pascal's triangle, to derive an explicit formula for the tribonacci numbers by using some properties of our triangle.  相似文献   
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