[seqfan] Look left and say

[Éric Angelini]

Hello SeqFans,
S = 0, 10, 11, 20, 12, 22, 30, 13, 23, 40, 14, 24, 34, 44, 50, 15, 25, 35, 45, 55, 60, 16, 26, 36, 46, 56, 66, 70, 17, 27, 37, 47, 57, 67, 77, 80, 18, 28, 38, 48, 58, 68, 78, 88, 90, 19, 29, 39, 49, 59, 69, 79, 89, 93,...

Pick any term (except the first one) – for instance 93
(at the end); this 93 says "On my left, there are
9 digits "3", altogether. Which is correct: from 0 to 89
(both markers included) there are exactly nine digits 3 in S.

S is always extended with the smallest integer that
"says the truth" about the past of S.
S is started with a(1) = 0.

Could someone compute more terms and submit S to the OEIS 
if S is not already there – with another a(1), for instance – 
and if S is of interest?

The second part of this mail is here (with another seq proposal):
https://bit.ly/2CKDqFk
Best,
É.