On a conjecture of Deutsch, Sagan, and Wilson

Simple item page
dc.creatorAllouche, Jean-Paul
dc.date2006-06-27
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:17:43Z
dc.date.available2026-07-07T07:17:43Z
dc.descriptionWe prove a recent conjecture due to Deutsch, Sagan, and Wilson stating that the finite sequence obtained from the first p central trinomial coefficients modulo p by replacing nonzero terms by 1's is palindromic, for any prime number p > 3. Addendum: the result was proved before almost in the same way by Tony D. Noe: On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7 http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Noe/noe35.html
dc.descriptionThis conjecture of Deutsch, Sagan, and Wilson has been already proved in Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7 http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Noe/noe35.html
dc.identifierhttps://arxiv.org/abs/math/0606670
dc.identifierhttp://arxiv.org/abs/math/0606670
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114040
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11A07; 05A10
dc.titleOn a conjecture of Deutsch, Sagan, and Wilson
dc.typetext

Files

Collections

arXiv