Obtaining sequences through set steps of (a,b,c,d)
Source: Baltic Way 2001
November 17, 2010
number theory proposednumber theory
Problem Statement
From a sequence of integers each of the sequences
(c, d, a, b), (b, a, d, c), (a + nc, b + nd, c, d), (a + nb, b, c + nd, d)
for arbitrary integer can be obtained by one step. Is it possible to obtain from through a sequence of such steps?