A Generalization of Very Odd Sequences

  • Cheng Yeaw Ku
  • Kok Bin Wong
Keywords: very odd sequence, Pelikan’s conjecture

Abstract

Let N be the set of positive integers and nN. Let a=(a0,a1,,an1) be a sequence of length n, with ai{0,1}. For 0kn1, let Ak(a)=0ijn1ji=kaiaj. The sequence a is called a very odd sequence if Ak(a) is odd for all 0kn1. In this paper, we study a generalization of very odd sequences and give a characterisation of these sequences.

Published
2015-04-21
Article Number
P2.12