Lowest Multiple Of # Terms Coprime To n

[Leroy Quet]

I just submitted this sequence to the OEIS:

%I A000001
%S A000001 1,2,4,3,8,5,6,9,10,12,20,14
%N A000001 a(n) = lowest positive multiple of
(number of terms of {a(1),a(2),..a(n-1)} which are coprime to n)
which is not among previous terms of sequence.
%e A000001 a(8) is 9 because there are 3 terms of the sequence among the 
first 7 terms which are coprime to 8, and 9 is the lowest positive 
multiple of 3 not among the first 7 terms of the sequence.
%O A000001 1
%K A000001 ,more,nonn,


Is it a permutation of the positive integers?


(And could someone please extend this sequence? thanks.)

thanks,
Leroy Quet