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- W4230200074 abstract "For $kgeq 2$, consider the $k$-Fibonacci sequence $(F_n^{(k)})_{ngeq 2-k}$ having initial conditions $0, ldots, 0, 1$ ($k$ terms) and each term afterwards is the sum of the preceding $k$ terms. Some well-known sequences are special cases of this generalization. The Fibonacci sequence is a special case of $(F_n^{(k)})_{ngeq 2-k}$ with $k=2$ and Tribonacci sequence is $(F_n^{(k)})_{ngeq 2-k}$ with $k=3$. In this paper, we use Baker's method to show that 4, 16, 64, 208, 976, and 1936 are all $k$-Fibonacci numbers of the form $(3^apm 1)(3^bpm 1)$, where $a$ and $b$ are nonnegative integers." @default.
- W4230200074 created "2022-05-11" @default.
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- W4230200074 date "2021-11-29" @default.
- W4230200074 modified "2023-10-18" @default.
- W4230200074 title "An exponential equation involving k-Fibonacci numbers" @default.
- W4230200074 doi "https://doi.org/10.3906/mat-2106-86" @default.
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