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%I #11 Mar 10 2024 04:01:57
%S 1,4,5,8,10,12,13,16,17,18,19,20,21,24,26,27,29,32,33,36,37,40,41,44,
%T 46,48,51,52,53,54,55,56,57,60,61,63,65,68,69,72,73,75,77,80,82,84,85,
%U 88,89,90,91,92,93,96,97,98,101,104,105,108,109,112,113,116,118,120,122
%N An increasing sequence of alternatingly squarefree and nonsquarefree numbers.
%C Composed of elements of A005117 at odd indices and of A013929 at even indices such that first differences of the combined sequence remain positive and minimal.
%H Amiram Eldar, <a href="/A162902/b162902.txt">Table of n, a(n) for n = 1..10000</a>
%t f[n_]:=Module[{a=m=0},Do[If[FactorInteger[n][[m,2]]>1,a=1],{m,Length[FactorInteger[n]]}]; a]; q=0;lst={};Do[If[f[n]==q,If[q==1,q=0,q=1];AppendTo[lst,n]],{n, 6!}];lst
%Y Cf. A005117, A013929.
%K nonn
%O 1,2
%A _Vladimir Joseph Stephan Orlovsky_, Jul 16 2009
%E Edited by _R. J. Mathar_, Jul 21 2009
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