Indian Mathematical Olympiad 1987 - Problem 5
Source:
August 13, 2009
algebra proposedalgebra
Problem Statement
Find a finite sequence of 16 numbers such that:
(a) it reads same from left to right as from right to left.
(b) the sum of any 7 consecutive terms is \minus{}1,
(c) the sum of any 11 consecutive terms is \plus{}1.