MathDB

3

Part of 1988 Federal Competition For Advanced Students, P2

Problems(1)

sequence

Source: Austria 1988

7/8/2009
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 n≥1 n \ge 1.
functionalgebrapolynomialnumber theory unsolvednumber theory