Geodesic
On linear recurrence equations arising from compositions of positive integers
Journal of integer sequences, Tome 18 (2015) no. 4.

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

Summary: For an arithmetic function $f_{0}$, we define a new arithmetic function $f_{1}$, generalizing the linear recurrence for the numbers of compositions of positive integers. Using $f_{1}$ in the same way, we then define $f_{2}$, and so on.
Classification : 05A10, 11B39
Keywords: linear recurrence equation, composition, Fibonacci number, restricted word 
@article{JIS_2015__18_4_a6,
     author = {Janji\'c, Milan},
     title = {On linear recurrence equations arising from compositions of positive integers},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_4_a6/}
}
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Janjić, Milan. On linear recurrence equations arising from compositions of positive integers. Journal of integer sequences, Tome 18 (2015) no. 4. http://geodesic.mathdoc.fr/item/JIS_2015__18_4_a6/