A044385 Numbers n such that string 5,3 occurs in the base 10 representation of n but not of n-1.

53, 153, 253, 353, 453, 530, 553, 653, 753, 853, 953, 1053, 1153, 1253, 1353, 1453, 1530, 1553, 1653, 1753, 1853, 1953, 2053, 2153, 2253, 2353, 2453, 2530, 2553, 2653, 2753, 2853, 2953, 3053, 3153, 3253, 3353, 3453, 3530