Pell–Padovan-circulant sequences and their applications

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Journal Article
Notes on Number Theory and Discrete Mathematics, 2017, 23 (3), pp. 100 - 114
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This paper develops properties of recurrence sequences defined from circulant matrices obtained from the characteristic polynomial of the Pell-Padovan sequence. The study of these sequences modulo m yields cyclic groups and semigroups from the generating matrices. Finally, we obtain the lengths of the periods of the extended sequences in the extended triangle groups E(2, n, 2), E(2, 2, n) and E(n, 2, 2) for n ≥ 3 as applications of the results obtained.
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