[seqfan] a(n), seen as string of characters, is visible in a(a(n))

[Eric Angelini]

Hello SeqFans,
a(n), seen as string of characters, is visible in a(a(n)) of S.

S=2,12,4,14,6,16,8,18,10,110,13,112,113,114,17,116,117,118,...

Example:

a(1)=2; "2" is visible in the second term of S, which is 12.
a(2)=12; "12" is visible in the 12th term of S, which is 112.
a(3)=4; "4" is visible in the 4th term of S, which is 14.

To get an "interesting" sequence, we impose a(n) to be different from n. 
Else we would have for S a lot of
sequences like S=1,2,3,4,5,6,7,8,... 
(the natural numbers).
S never shows twice the same integer
and is the lexicographically first
sequence with this property.

Best,
É.