A098161 Slowest increasing sequence where the digits fit the infinite repeating pattern even/even/odd/odd/even/even/odd/odd/...

0, 2, 3, 5, 6, 8, 9, 10, 21, 30, 41, 50, 61, 70, 81, 90, 211, 221, 300, 310, 411, 421, 500, 510, 611, 621, 700, 710, 811, 821, 900, 910, 2110, 2112, 2114, 2116, 2118, 2130, 2132, 2134, 2136, 2138, 2150, 2152, 2154, 2156, 2158, 2170, 2172, 2174, 2176, 2178, 2190