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MATHEMATICA
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f[n_]:=Block[{q}, q=Last[First[RealDigits[1/n]]]; If[IntegerQ[q], q={}]; FromDigits[q]]; q=0; lst={}; Do[If[StringLength[ToString[f[n]]]>q, AppendTo[lst, f[n]]; q=StringLength[ToString[f[n]]]], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 21 2009]
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