IMO 2018 Shortlist N3
De ne the sequen e a0,a1,a2,... by an “ 2n 2tn{2u . Prove that there are in nitely many terms of the sequen e whi h an b...
Category: Number Theory
Problem
De ne the sequen e a0,a1,a2,... by an “ 2n ` 2tn{2u . Prove that there are in nitely many terms of the sequen e whi h an be expressed as a sum of (two or more) distin t terms of the sequen e, as well as in nitely many of those whi h annot be expressed in su h a way. (Serbia)