A046811 Numbers (with nonzero digits) where A046810 increases.

1, 2, 13, 113, 149, 1123, 1237, 11234, 11239, 12347, 12359, 12367, 12379, 13459, 13789, 111389, 112279, 112337, 112346, 112348, 112349, 112379, 112679, 113789, 123457, 123467, 123469, 123479, 1112347, 1112357, 1112359, 1113479, 1122349