IMO 2011 Shortlist A2

Determine all sequences (x1,x2,...,x2011) of positive integers such that for every positive inte- ger n there is an inte...

IMO 2011 Shortlist A2

Category: Algebra

Problem

Determine all sequences (x1,x2,...,x2011) of positive integers such that for every positive inte- ger n there is an integer a with xn 1 + 2xn 2 + ··· + 2011xn 2011 = an+1