Geodesic
Geometric representations of the $n$-anacci constants and generalizations thereof
Journal of integer sequences, Tome 19 (2016) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We introduce geometric representations of the sequence of the $n$-anacci constants and generalizations thereof that consist of the ratio limits generated by linear recurrences of an arbitrary order $n$ with equal real weights $p > 0$. We represent the $n$-anacci constants and their generalizations geometrically by means of the dilation factors of dilations transforming collections of compact convex sets with increasing dimensions $n$.
Classification : 11B37, 11B39
Keywords: weighted n-step Fibonacci sequence, generalized n-anacci constant, dilation and geometric representation of the (m, n)-anacci constant 
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     title = {Geometric representations of the $n$-anacci constants and generalizations thereof},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a7/}
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Szczyrba, Igor; Szczyrba, Rafał; Burtscher, Martin. Geometric representations of the $n$-anacci constants and generalizations thereof. Journal of integer sequences, Tome 19 (2016) no. 3. http://geodesic.mathdoc.fr/item/JIS_2016__19_3_a7/