[seqfan] Help for knives (and huge computer time)!

[Eric Angelini]

Hello SeqFans,
Please consider S:

S = 1,2,3,5,11,12,4,8,7,14,...

1) cut S anywhere with a vertical 
stroke (you are allowed to split a 
single integer of S); 
2) see the concatenation of all the 
digits that are on the left side of the 
cut as integer Z;
3) Z is divisible by the last digit of Z.

S was always extended with the smallest integer not yet present in S.

We see indeed that (if I'm not wrong):

1 / 1 = 1
12 / 2 = 6
123 / 3 = 41
1235 / 5 = 247
12351 / 1 = 12351
123511 / 1 = 123511
1235111 / 1 = 1235111
12351112 / 2 = 6175556
123511124 / 4 = 308777781
1235111248 / 8 = 154388906
12351112487 / 7 = 1764444641

... and I'm stuck there.

Best,
É.