2 papers
math.NT2004
Lucas sequences whose 8th term is a square
Andrew Bremner, Nikos Tzanakis
Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q), n=0,1,2,... is defined by U_0=0, U_1=1, U_n= P U_{n-1}-Q U_{n-2} for n>1. For each positive integer n<8 we describe a…
math.NT2004
Lucas sequences whose 12th or 9th term is a square
Andrew Bremner, Nikos Tzanakis
Let P and Q be non-zero relatively prime integers. The Lucas sequence {U_n(P,Q) is defined by U_0=0, U_1=1, U_n = P U_{n-1}-Q U_{n-2} for n>1. The sequence {U_n(1,-1)} is the famil…