PERFECT PELL AND PELL-LUCAS NUMBERS

The Pell sequence (P-n)(n=0)(infinity) is given by the recurrence P-n = 2P(n) 1+ P-n 2 with initial condition P-0 = 0, P-1 = 1 and its associated Pell-Lucas sequence (Q(n))(n=0)(infinity) is given by the same recurrence relation but with initial condition Q(0) = 2,Q(1) = 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.