Geodesic
Binomial presentation of linear recurring sequences
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 553-556

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that any linear recurring sequence over commutative local Artinian ring $R$ can be presented as a linear combination of binomial sequences over some Galois extension $S$ of $R$. If the roots of the binomial sequences belong to the fixed coordinate set of $S$, then this presentation is unique. 
@article{FPM_1995_1_2_a18,
     author = {V. L. Kurakin},
     title = {Binomial presentation of linear recurring sequences},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {553--556},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a18/}
}
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V. L. Kurakin. Binomial presentation of linear recurring sequences. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 553-556. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a18/