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Article . 2022
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Article . 2022 . Peer-reviewed
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Triangular numbers and generalized fibonacci polynomial

Triangular numbers and generalized Fibonacci polynomial
Authors: Şahin, Adem;

Triangular numbers and generalized fibonacci polynomial

Abstract

AbstractIn the present paper, we study triangular numbers. We focus on the linear homogeneous recurrence relation of degree 3 with constant coefficients for triangular numbers. Then we deal with the relationship between generalized Fibonacci polynomials and triangular numbers. We show that different properties of triangular numbers can be obtained by using this relationship. Finally, we examine the properties of the sequenceA052529 that has strong relationships with triangular numbers.

Related Organizations
Keywords

Fibonacci and Lucas numbers and polynomials and generalizations, generalized Fibonacci polynomials, Recurrences, Determinants, permanents, traces, other special matrix functions, alternating triangular numbers, triangular numbers

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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