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%I #3 Mar 31 2012 12:38:27
%S 72,108,200,392,500,968,1352,1372,4232,7688,8788,13448,14792,17672,
%T 19652,27436,27848,35912,48668,49928,55112,75272,81608,84872,97556,
%U 102152,119164,137288,150152,154568,177608,182408,197192,202612,223112
%N Members of A143610 for which both neighbors are squarefree.
%C Numbers of the form n=p^2*q^3 where p and q are two different primes and where n+1 and n-1 are both in A005117.
%t f[n_]:=Last/@FactorInteger[n]=={2,3}||Last/@FactorInteger[n]=={3,2}; << NumberTheory`NumberTheoryFunctions` lst={};Do[If[f[n],If[SquareFreeQ[n-1]&&SquareFreeQ[n+1], AppendTo[lst,n]]],{n,3*9!}];lst
%Y Cf. A067874.
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Oct 26 2009
%E Definition narrowed by _R. J. Mathar_, Oct 28 2009