On peculiar Šindel sequences

0346721 - MÚ 2011 RIV IN eng J - Journal Article
Křížek, Michal - Somer, L.
On peculiar Šindel sequences.
JP Journal of Algebra, Number Theory and Applications. Roč. 17, č. 2 (2010), s. 129-140. ISSN 0972-5555
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : quadratic residue * Chinese remainder theorem * primitive Šindel sequences * Prague clock sequence
Subject RIV: BA - General Mathematics
http://www.pphmj.com/abstract/5095.htm

A Šindel sequence {ai} N of natural numbers is a periodic sequence that satisfies the following condition: for any k in N, there exists n in N such that Tk=a1+...+an, where Tk stands for a triangular number. Denoting l to be the period length, we will establish a necessary and sufficient condition for the so-called primitive Šindel sequence to be peculiar, namely that ai=i for i=1, ..., l-1.
Permanent Link: http://hdl.handle.net/11104/0187666