[seqfan] Dropping the monotonic increase in http://oeis.org/A106003

[Eric Angelini]

Hello SeqFans,
if we require that the next term of the sequence
is "the smallest integer not yet present in T" 
do we get this?

T =
1,2,3,4,5,6,7,8,9,110,111,100,112,113,114,115,101,102,116,117,120,118,119,130,118,119,140,210,211,150,212,103,213,214,104,121,215,216,160,217,218,170,...

Is T a permutation of http://oeis.org/A001633 ?
Best,
É.