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Integers m that belong to Lucas sequences U(P1,Q1) and V(P2,Q2) with P1, P2 > 0 both different from m, |Q1|=|Q2|=1.
1

%I #3 Nov 08 2012 22:18:38

%S 2,3,29,34,82

%N Integers m that belong to Lucas sequences U(P1,Q1) and V(P2,Q2) with P1, P2 > 0 both different from m, |Q1|=|Q2|=1.

%C No other terms below 10^9.

%H Max A. Alekseyev, <a href="http://arxiv.org/abs/1002.1679">On the intersections of Fibonacci, Pell, and Lucas numbers</a>, INTEGERS 11(3) (2011), pp. 239-259. doi:<a href="http://dx.doi.org/10.1515/INTEG.2011.021">10.1515/INTEG.2011.021</a>

%e 2, 34 belong to U(1,-1) and V(6,1)

%e 3 belongs to U(1,-1) and V(1,-1)

%e 29 belongs to U(2,-1) and V(1,-1)

%e 82 belongs to U(9,-1) and V(2,-1)

%Y Cf. A218994

%K nonn,more

%O 1,1

%A _Max Alekseyev_, Nov 08 2012