A044148 string 1,3 occurs in the base 7 representation of n but not of n-1.

10, 59, 70, 108, 157, 206, 255, 304, 353, 402, 413, 451, 490, 549, 598, 647, 696, 745, 756, 794, 843, 892, 941, 990, 1039, 1088, 1099, 1137, 1186, 1235, 1284, 1333, 1382, 1431, 1442, 1480, 1529, 1578, 1627, 1676, 1725, 1774