%I
%S 1,1,2,5,9,17,23,31,41,47,53,61,71,77,101,107,113,131,139,151,163,169,
%T 181,193,199,223,229,239,251,263,271,281,293,311,317,337,349,359,367,
%U 379,389,401,419,431,439,449,461,467,487,499,509,523,547,557,569,577
%N a(0)=1. a(n) = nth integer from among those positive integers which are coprime to the product of the earlier terms of the sequence.
%e 10 is the product of terms a(0) through a(3). 1,3,7,9,11,...is the sequence of positive integers coprime to 10. 9 is the 4th term of this sequence, so a(4) therefore is 9.
%o (PARI) {m=56;print1(1,",");s=1;for(n=1,m,k=n;c=0;while(k>0,c++;if(gcd(s,c)==1,k));print1(c,",");s=s*c)}  (Klaus Brockhaus, Aug 15 2006)
%K nonn
%O 0,3
%A _Leroy Quet_, Aug 04 2006
%E Corrected and extended by _Klaus Brockhaus_, Aug 15 2006
