A044006 Numbers n such that 1 and 3 occur juxtaposed in the base 10 representation of n but not of n+1.

13, 31, 113, 139, 213, 231, 319, 331, 413, 431, 513, 531, 613, 631, 713, 731, 813, 831, 913, 931, 1013, 1031, 1113, 1139, 1213, 1231, 1399, 1413, 1431, 1513, 1531, 1613, 1631, 1713, 1731, 1813, 1831, 1913, 1931, 2013, 2031