Arithmetical Study of a Certain Ternary Recurrence Sequence and Related Questions

Abstract

Abstract. The complete solution in (n, yx, yj) 6 Z3 of the Diophantine equation b" = ±2yi yi is given, where (bn)nez is Berstel's recurrence sequence defined by />o = Z>i=0, b2 = l, b"+3 = 2bn+2 -4b"+l + 4bn.