  This note gives a central limit theorem for the length of the longest
subsequence of a random permutation which follows some repeating pattern. This
includes the case of any fixed pattern of ups and downs which has at least one
of each, such as the alternating case considered by Stanley in [2] and Widom in
[3]. In every case considered the convergence in the limit of long permutations
is to normal with mean and variance linear in the length of the permutations.
