A044345 Numbers n such that string 1,3 occurs in the base 10 representation of n but not of n-1.

13, 113, 130, 213, 313, 413, 513, 613, 713, 813, 913, 1013, 1113, 1130, 1213, 1300, 1413, 1513, 1613, 1713, 1813, 1913, 2013, 2113, 2130, 2213, 2313, 2413, 2513, 2613, 2713, 2813, 2913, 3013, 3113, 3130, 3213, 3313, 3413