  In this note, we show the existence of integer sequences of lengths at least
3 (except 7) such that for every integer in position $i\equiv 1\pmod{4}$
(respectively position $j\equiv 3\pmod{4}$), counting from left to right, the
sum of the integer and the adjacent integer(s) has a constant sum $x$
(respectively $y$) with $x\ne y$.
