A101316 Sequence starts with 1 odd digit, followed by 2 even digits, then 2 odd digits, then 1 even, then 3 odd, 2 even, 3 odd, 3 even, 3 odd, 4 even, 4 odd, 1 even, etc. These digits spell precisely the sequence. When constructing the sequence always chose carefully the digits which slow at the maximum the growth of the sequence.

1, 2, 21, 32, 33, 34, 41, 51, 62, 63, 71, 82, 84, 91, 93, 211, 311, 411, 511, 522, 531, 533, 622, 711, 713, 721, 731, 733, 742, 751, 753, 754, 822, 911, 913, 915, 2111, 3111, 3122, 4112