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- W2020335280 abstract "For k ≥ 2, the k-generalized Fibonacci sequence (F ) n is defined by the initial values 0, 0, …, 0,1 (k terms) and such that each term afterwards is the sum of the k preceding terms. In 2005, Noe and Post conjectured that the only solutions of Diophantine equation F = F (ℓ) , with ℓ > k > 1, n > ℓ + 1, m > k + 1 are $(m,n,ell ,k) = (7,6,3,2)and(12,11,7,3)$ . In this paper, we confirm this conjecture." @default.
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- W2020335280 date "2013-09-01" @default.
- W2020335280 modified "2023-09-27" @default.
- W2020335280 title "The proof of a conjecture concerning the intersection of k-generalized Fibonacci sequences" @default.
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- W2020335280 doi "https://doi.org/10.1007/s00574-013-0021-y" @default.
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