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In this paper, we find the sequence of partial sums of the k-Fibonacci sequence, say, Sk,n=∑j=1nFk,j, and then we find the sequence of partial sums of this new sequence, Sk,n2)=∑j=1nSk,j,… Click to show full abstract
In this paper, we find the sequence of partial sums of the k-Fibonacci sequence, say, Sk,n=∑j=1nFk,j, and then we find the sequence of partial sums of this new sequence, Sk,n2)=∑j=1nSk,j, and so on. The iterated partial sums of k-Fibonacci numbers are given as a function of k-Fibonacci numbers, in powers of k, and in a recursive way. We finish the topic by indicating a formula to find the first terms of these sequences from the k-Fibonacci numbers themselves.
Keywords:
fibonacci numbers;
sequence;
sums fibonacci;
iterated partial;
fibonacci sequences;
partial sums
Journal Title: Axioms
Year Published: 2022
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Journal Title: Axioms
Year Published: 2022
Link to full text (if available)
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recommendations!