Geodesic
Infinite linear recurrence relations and superposition of linear recurrence equations
Journal of integer sequences, Tome 20 (2017) no. 5
We consider the applications of triangular matrices and functions of them to the study of number sequences generated by infinite-order linear recurrence equations with constant coefficients. We also introduce the concept of superposition of linear recurrence equations and establish some of its properties.
Classification : 11B37, 15A15
Keywords: triangular matrix, paradeterminant, parapermanent, superposition of recurrence equations, recurrence relation, generating function 
@article{JIS_2017__20_5_a3,
     author = {Goy,  Taras and Zatorsky,  Roman},
     title = {Infinite linear recurrence relations and superposition of linear recurrence equations},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {5},
     zbl = {1380.11008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_5_a3/}
}
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Goy,  Taras; Zatorsky,  Roman. Infinite linear recurrence relations and superposition of linear recurrence equations. Journal of integer sequences, Tome 20 (2017) no. 5. http://geodesic.mathdoc.fr/item/JIS_2017__20_5_a3/