A023378 a(n+1) = a(n) converted to base 10 from base 4 (written in base 10).

4, 10, 22, 112, 1300, 110110, 122320132, 13102213110010, 2332222120300201203322, 133212320111123130111021311111121322, 12122133133313032110200332320320202022333020121323230212222