Geodesic
On linear recurrence equations arising from compositions of positive integers
Journal of integer sequences, Tome 18 (2015) no. 4
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},
     year = {2015},
     volume = {18},
     number = {4},
     zbl = {1327.05012},
     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/