Note Concerning an Odd Langford Sequence

It is shown that the set {1, 2,⋯ , 2 n + 3} − {p } can be partitioned into differences 1, 3,⋯ , 2 n + 1 precisely whenn ≥ 1, p is odd and (n, p) ≠ = (1, 3). All sets whose elements are in arithmetic progression and which can be partitioned into differences that are again in arithmetic progression are classified.