Perfect Pell and Pell–Lucas numbers
2019 ◽
Vol 56
(4)
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pp. 381-387
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Abstract The Pell sequence is given by the recurrence Pn = 2Pn−1 + Pn−2 with initial condition P0 = 0, P1 = 1 and its associated Pell-Lucas sequence is given by the same recurrence relation but with initial condition Q0 = 2, Q1 = 2. Here we show that 6 is the only perfect number appearing in these sequences. This paper continues a previous work that searched for perfect numbers in the Fibonacci and Lucas sequences.
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2015 ◽
Vol 11
(04)
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pp. 1259-1274
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2021 ◽
Vol 29
(1)
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pp. 17-36
1975 ◽
Vol 18
(1)
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pp. 115-122
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2007 ◽
Vol 91
(521)
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pp. 216-226
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2020 ◽
Vol 26
(4)
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pp. 164-172
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