Generalized Lucas numbers of the form 3 × 2^m
2021 ◽
Vol 27
(2)
◽
pp. 129-136
Keyword(s):
For an integer $k\geq 2$, let $(L_n^{(k)})_n$ be the k-generalized Lucas sequence which starts with $0,\ldots,0,2,1$ (k terms) and each term afterwards is the sum of the k preceding terms. In this paper, we look the k-generalized Lucas numbers of the form $3\times 2^m$ i.e. we study the Diophantine equation $L^{(k)}_n = 3\times 2^m$ in positive integers n, k, m with $k \geq 2$.
Keyword(s):
2015 ◽
Vol 11
(04)
◽
pp. 1259-1274
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Keyword(s):
2019 ◽
Vol 19
(2)
◽
pp. 121-125
2013 ◽
Vol 89
(2)
◽
pp. 316-321
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2020 ◽
Vol 4
(2)
◽
pp. 103