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%I #4 Dec 05 2013 19:55:46
%S 3,4,9,8,25,12,35,16,27,20,77,24,65,28,45,32,85,36,133,40,63,44,115,
%T 48,125,52,81,56,319,60,217,64,99,68,175,72,185,76,117,80,451,84,215,
%U 88,135,92,235,96,343,100,153,104,265,108,275,112,171,116,413,120,427
%N a(n) = smallest multiple of n other than n which is relatively prime to both a(n-1) and a(n+1).
%e a(1)=3 and is not 2 else there is no candidate for a(2). Similarly a(5) is not 15 so that a(6) exists.
%o (PARI) p=3:print1("3,"):for(n=2,80, for(k=2,10^9,if(gcd(k*n,p)==1&&gcd(k,n+1)==1,print1(k*n","):p=k*n:break)))
%K nonn
%O 0,1
%A _Amarnath Murthy_, Oct 14 2002
%E More terms from _Ralf Stephan_, Mar 27 2003
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