On K-Generalized Lucas Sequence With Its Triangle
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Abstract
In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s -Lucas triangle and bi s nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 + center dot center dot center dot + xs), with s is an element of N.
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Keywords
k- generalized Lucas sequence, arithmetic triangle, recurrence relation, bi s nomial coefficient, Bis Nomial Coefficient, K−generalized Lucas Sequence, Matematik, arithmetic triangle, Binomial coefficients; factorials; \(q\)-identities, \(\mathrm{bi}^s\)nomial coefficient, \( k\)-generalized Lucas sequence, recurrence relation, Fibonacci and Lucas numbers and polynomials and generalizations, Factorials, binomial coefficients, combinatorial functions, k- generalized Lucas sequence, bi s nomial coefficient
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0101 mathematics, 01 natural sciences
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Volume
47
Issue
4
Start Page
1129
End Page
1143
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CrossRef : 1
Scopus : 1
