[seqfan] Digits concatenation

[Paolo Lava]

Dear SeqFans,



I am thinking to a sequence where at any step “n” we concatenate all the
digits of all the natural numbers from 1 to n in order to build up two
numbers x and y that minimize the ratio x/y, being x/y integer (leading
zeros not admitted).



Starting with a(1)=1 we have a(2)=2 because 2/1=2, a(3)=4 because 12/3=4,
a(4)=33 because 132/4=33, a(5)=38 because 532/14=38, etc.



If we start from a(0)=0 we have a(1)=0 (0/1), a(2)=5 (10/2), a(3)=34
(102/3), a(4)=3 (102/34), etc.



Is there anybody who is willing to compute additional terms?



Thanks



Paolo