[seqfan] Re: Sum divides concatenation

[John W. Layman]

Eric Angelini wrote:
> 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.
>
>
>   

It takes Mathematica a couple of minutes to get
    {1, 2, 6, 250488, 279786, 1060566, 1414088, 1767610, 2447460},
which is not in the OEIS.

Regards,
John