A SEQUENCE OF INTEGERS A1, A2, A3, . . . SATISFIES THE RELATION

2. A sequence of integers a

1

, a

2

, a

3

, . . . satisfies the relation:

4a

n

2

+

1

− 4a

n

a

n

+

1

+ a

2

n

− 1 = 0

for all positive integers n. What are the possible values of a

1

?