MathDB
1,0,1,0,1,0,3,5,...

Source: Kosovo IMO TST 2012 problem 4

April 22, 2012
monovariantsearchcombinatorics proposedcombinatorics

Problem Statement

Each term in a sequence 1,0,1,0,1,0...1,0,1,0,1,0...starting with the seventh is the sum of the last 6 terms mod 10 .Prove that the sequence ...,0,1,0,1,0,1......,0,1,0,1,0,1... never occurs