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Question: How can I choice number k so that the sequence is an integer sequence?

Question:How can I choice number k so that the sequence is an integer sequence?

minhthien2016 385 Maple
sequence
November 01 2019
0

Let be the sequence (an) so that a1 = 1, a(n+1) = 5*a(n) + sqrt(k*a(n)^2 -8), for all n >=1. I know that, the answer is k = 24.  How can I choice number k so that the sequence is an integer sequence?
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