MathDB
sequence

Source: Austria 1988

July 8, 2009
functionalgebrapolynomialnumber theory unsolvednumber theory

Problem Statement

Show that there is precisely one sequence a1,a2,... a_1,a_2,... of integers which satisfies a_1\equal{}1, a_2>1, and a_{n\plus{}1}^3\plus{}1\equal{}a_n a_{n\plus{}2} for n1 n \ge 1.