Geodesic
Generalized multiple counting Jacobsthal sequences of Fermat pseudoprimes
Journal of integer sequences, Tome 19 (2016) no. 2.

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Summary: This study involves definitions of regular and representational multiple-counting Jacobsthal sequences of Carmichael numbers. We introduce recurrence relations for multiple-counting Jacobsthal sequences and show their association with Fermat's little theorem. We also provide matrix representations and generalized Binet formulas for defined sequences. This leads to a better understanding of how certain composite numbers are distributed among consecutive powers.
Classification : 11Bxx, 11Y55, 11A15
Keywords: Carmichael number, Fermat's little theorem, binet formula, floor function, multiple-counting sequence, Fermat pseudoprime, Jacobsthal sequence 
@article{JIS_2016__19_2_a0,
     author = {C{\i}lasun, M.H\"usrev},
     title = {Generalized multiple counting {Jacobsthal} sequences of {Fermat} pseudoprimes},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_2_a0/}
}
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Cılasun, M.Hüsrev. Generalized multiple counting Jacobsthal sequences of Fermat pseudoprimes. Journal of integer sequences, Tome 19 (2016) no. 2. http://geodesic.mathdoc.fr/item/JIS_2016__19_2_a0/