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What is Lucas Triangle and k-Lucas Numbers about?

This document discusses the k-Lucas numbers and their relationship to the Lucas triangle. It begins by defining the k-Lucas numbers and listing some of their properties. It then presents the Lucas triangle, whose entries are the coefficients of the polynomial expressions of the k-Lucas numbers. Properties of the rows, diagonals, and antidiagonals of this triangle are studied. It is shown that the classical Pascal triangle can be obtained from the Lucas triangle. Finally, a combinatorial formula for the k-Lu

Author

Eraslan Şevki Yilmaz

Language

EN