A100832: What exactly are amenable numbers?

[Eric Angelini]

Hello seqfans and math-fun,
I've just published A101246 in Sloane's OEIS (see below).

Could someone calculate for me the last term of the
sequence (which, I'm sure, is finite) ?
best,
E.

--------

1,3,7,605,607,1446,1538,1608,2545,2618,3027,4616,4903, (...)

« Insert the first differences between every pair of integers;
this new sequence has it's first 10 digits all different one
from another ; and so for the next 10 ; and for the next 10,
etc. To construct the above sequence, start with 1 and add the
smallest available integer which doesn't lead to a contradiction. »

Example :

1 3 7   605 607   1446  1538  1608   2545  2618  (seq. A101246)
 2 4 598   2   839    92    70    937    73    409  (first differ.)
**10*dig**--10-dig--**10*dig**--10-dig--**10-dig**  (10 digit boxes)