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Numbers n with property that the square of each digit of n is a substring of n^3
1

%I #6 Aug 08 2016 15:13:24

%S 1,5,10,11,13,17,22,31,33,50,100,101,103,110,111,112,113,118,122,130,

%T 131,170,202,220,222,233,301,310,327,330,331,332,333,446,500,501,525,

%U 545,565,961,1000,1001,1003,1005,1010,1011,1012,1013,1021,1022,1030,1031

%N Numbers n with property that the square of each digit of n is a substring of n^3

%H Harvey P. Dale, <a href="/A173901/b173901.txt">Table of n, a(n) for n = 1..1000</a>

%t sdsQ[n_]:=Module[{idn3=IntegerDigits[n^3],idn2=IntegerDigits/@ (IntegerDigits[ n]^2)}, And@@Table[SequenceCount[idn3, idn2[[i]]]>0,{i,Length[idn2]}]]; Select[Range[1500],sdsQ] (* The program uses the SequenceCount function from Mathematica version 10 *) (* _Harvey P. Dale_, Aug 08 2016 *)

%K base,nonn

%O 1,2

%A _Claudio Meller_, Mar 01 2010

%E Corrected and extended by _Harvey P. Dale_, Aug 08 2016