%I A160512
%S A160512 1,2,3,4,5,7,10,11,13,16,17,19,21,23,26,27,29,31,33,37,38,41,42,43,46,
%T A160512 47,51,53,55,59,61,64,65,67,69,71,73,79,82,83,85,89,91,97,101,103,105,
%U A160512 107,109,113,114,121,122,125,127,128,129,131,133,137,138,139,141,149
%N A160512 a(1)=1. a(2n) = the smallest power of a prime > a(2n-1). a(2n+1) = the 
               smallest squarefree integer > a(2n).
%C A160512 The sequence b(1)=1; b(2n) = the smallest squarefree integer > b(2n-1); 
               b(2n+1) = the smallest power of a prime > b(2n), is such that: b(1)=a(1), 
               b(2)=a(2), b(3)=a(3). And, b(n) = a(n+1), for n >= 4. (Ie The sequences 
               are the same except that the integer 4 is excluded from {b(k)}, and 
               except for the indexing after the 3rd term of each sequence.)
%Y A160512 Sequence in context: A002504 A133431 A123091 this_sequence A144430 A157082 
               A133493
%Y A160512 Adjacent sequences: A160509 A160510 A160511 this_sequence A160513 A160514 
               A160515
%K A160512 nonn
%O A160512 1,2
%A A160512 Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), May 16 2009
%E A160512 Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 16 2009