The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #4 Nov 08 2012 22:07:12
%S 0,1,5,360,528,1189
%N Integers m that belong to at least two distinct Lucas sequences U(P,Q) with P>0 different from m, |Q|=1, and (P,Q) different from (3,1).
%C No other terms below 10^9.
%C (P,Q)=(3,1) is excluded since U(3,1) represents a bisection of U(1,-1)
%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 5 belongs to U(1,-1) and U(2,-1)
%e 360 belongs to U(3,-1) and U(19,1)
%e 528 belongs to U(8,-1) and U(23,1)
%e 1189 belongs to U(3,-1) and U(6,1)
%Y Cf. A218995
%K nonn,more
%O 1,3
%A _Max Alekseyev_, Nov 08 2012