Geodesic
Binomial transform and Dold sequences
Journal of integer sequences, Tome 18 (2015) no. 1
We prove that the binomial transform $T(a)$ of a Dold sequence $a$ is a Dold sequence itself. We also show that if $a$ and $T(a)$ are bounded Dold sequences then they are both periodic with period 6.
Classification : 05A10, 11A07
Keywords: binomial transform, trace, Lefschetz number, integer matrix, congruence 
@article{JIS_2015__18_1_a3,
     author = {W\'ojcik,  Klaudiusz},
     title = {Binomial transform and {Dold} sequences},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {1},
     zbl = {1309.05016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_1_a3/}
}
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Wójcik,  Klaudiusz. Binomial transform and Dold sequences. Journal of integer sequences, Tome 18 (2015) no. 1. http://geodesic.mathdoc.fr/item/JIS_2015__18_1_a3/