On binary sequences

The above sequences have the following interpretation [2]: the elements which are -1 are those with subscript given mod n by n=5: Mn4+3, mf O (mod5), n= 7: rm2+3, mf O (mod7), n = 11: -M2 2, (mod 11), n = 13: llm4 1, (mod 13). It will be shown here that for odd n, these are all the sequences with the property Ck I < 1. For the sake of completeness, the preliminary details have been included. Let (xi) be any sequence with xi= ? 1, and let