Geodesic
A self-indexed sequence
Journal of integer sequences, Tome 8 (2005) no. 3
We investigate the integer sequence $ \left(t_{n}\right)_{n\in\mathbb{Z}}$ defined by $ t_{n}=0$ if $ n\leq0, t_{1}=1$, and $ t_{n}=\sum_{i=1}^{n-1}t_{n-t_{i}}$ for $ n \geq 2$. This sequence has the following properties: if we consider $ f_{n}(X):=-1+\sum_{i=1}^{n}X^{t_{i}}$ and take $ x_{n}$ to be the real positive number such that $ f_{n}(x_{n})=0$, then
Classification : 11Y55
Keywords: integer sequences 
@article{JIS_2005__8_3_a5,
     author = {Preissmann,  Emmanuel},
     title = {A self-indexed sequence},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {3},
     zbl = {1098.11012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a5/}
}
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AU  - Preissmann,  Emmanuel
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Preissmann,  Emmanuel. A self-indexed sequence. Journal of integer sequences, Tome 8 (2005) no. 3. http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a5/