
doi: 10.1515/ms-2022-0099
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.
Fibonacci and Lucas numbers and polynomials and generalizations, generalized Fibonacci polynomials, Recurrences, Determinants, permanents, traces, other special matrix functions, alternating triangular numbers, triangular numbers
Fibonacci and Lucas numbers and polynomials and generalizations, generalized Fibonacci polynomials, Recurrences, Determinants, permanents, traces, other special matrix functions, alternating triangular numbers, triangular numbers
| 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
