Integer sequences with proscribed differences and bounded growth rate

Abstract

Let n, b and c be positive integers with b ≤ c and let A = aiini = 0n be a sequence of integers such that 0 = a0 < a1 <...<an and ai + b ≤ ai + c for all i with 0 ≤ i ≤ n - b. We find all n function of b, c and k, k a positive integer, so that all such sequences have no two members that differ by exactly k. Show more