[seqfan] a(n) and n have the same digitsum but no digit in common

[Eric Angelini]

Hello SeqFans,

n =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
S = 28,11,12,13,14,15,16,17,18,37, 2, 3, 4, 5, 6, 7, 8, 9,46,38,30,31,41,33,34,35,36, 1,...

S was built using always the smallest integer not yet present in S
such that a(n) and n have the same digitsum but no digit in common.

S is easy to compute by hand... in the beginning... but things quickly
become messy... Some help would be greatly appreciated!

S is finite: when it comes to n=1023456789 we are stuck for sure. But
S might stop with an earlier n: what would be the last term of S?

Best,
É.