A044881 Numbers having, in base 10, (sum of even run lengths)=(sum of odd run lengths).

1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1011, 1022, 1033, 1044, 1055, 1066, 1077, 1088, 1099, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1120, 1121, 1123, 1124, 1125, 1126, 1127, 1128, 1129