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On the Lucas property of linear recurrent sequences. (English) Zbl 1428.11036

MSC:
11B50 Sequences (mod \(m\))
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
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References:
[1] Carlitz, L., The coefficients of the reciprocal of \(J_0(x)\), Arch. Mat., 6, 6, 121-127, (1955) · Zbl 0064.06502
[2] Carmichael, R. D., On sequences of integers defined by recurrence relations, Quart. J. Math., 48, 343-372, (1920)
[3] Gessel, I., Some congruences for apéry numbers, J. Number Theory, 14, 3, 362-368, (1982) · Zbl 0482.10003
[4] McIntosh, R., A generalization of a congruential property of Lucas, Amer. Math. Monthly, 99, 3, 231-238, (1992) · Zbl 0755.11001
[5] Robinson, D. W., A note on linear recurrent sequences modulo \(m\), Amer. Math. Monthly, 73, 6, 619-621, (1966) · Zbl 0136.32403
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