Forced differences between terms of subsequences of integer sequences
Document Type
Article
Publication Date
1-1-1983
Abstract
Let a1, a2,. be a sequence of integers and let D = {d1…d2} be a fixed finite set of integers. For each positive integer n we investigate the problem of choosing maximal subsequences a1,…a2 from a1…a2 such that |aα1 — aβ2| €D for α ≠ β. An asymptotic form for t, the maximum length of such subsequences, is derived in the special case a1= i. © 1983 American Mathematical Society.
Publication Title
Proceedings of the American Mathematical Society
Recommended Citation
Gilpin, M.,
&
Shelton, R.
(1983).
Forced differences between terms of subsequences of integer sequences.
Proceedings of the American Mathematical Society,
88(4), 569-578.
http://doi.org/10.1090/S0002-9939-1983-0702277-1
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9759
