[seqfan] Sum divides concatenation

[Eric Angelini]

Hello SeqFans,
I don't know how to find more terms -- thus I don't know
if this is old hat in Neil's database:

1, 2, 6, ...

The sum of the first n integers divides the concatanion of
the first n integers; always prolong the seq with the smal-
lest _natural_ number not yet used:

1 divides 1  --> HIT
1+2   (=3) divides 12 --> HIT
1+2+3 (=6) does not divide 123
1+2+4 (=7) does not divide 124
1+2+5 (=8) does not divide 125
1+2+6 (=9) divides 126 --> HIT
etc.

Best,
É.