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A189056 Numbers having in decimal representation at least one common digit with their squares.

%I A189056 #18 Jun 13 2015 09:50:30
%S A189056 0,1,5,6,10,11,12,13,14,15,16,19,20,21,23,25,26,27,28,30,31,32,35,36,
%T A189056 37,40,41,42,43,45,46,48,49,50,51,52,55,56,60,61,63,64,65,66,68,69,70,
%U A189056 71,73,74,75,76,78,80,81,82,83,85,86,87,89,90,91,93,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120
%N A189056 Numbers having in decimal representation at least one common digit with their squares.
%C A189056 Complement of A029783; A076493(a(n)) > 0.
%C A189056 A258682(a(n)) < a(n)^2. - _Reinhard Zumkeller_, Jun 07 2015
%H A189056 Reinhard Zumkeller, <a href="/A189056/b189056.txt">Table of n, a(n) for n = 1..10000</a>
%t A189056 Select[Range[0,120],Length[Intersection[IntegerDigits[#], IntegerDigits[ #^2]]]>0&] (* _Harvey P. Dale_, Aug 28 2012 *)
%o A189056 (Haskell)
%o A189056 a189056 n = a189056_list !! (n-1)
%o A189056 a189056_list = 0 : filter (\x -> a258682 x /= x ^ 2) [1..]
%o A189056 -- _Reinhard Zumkeller_, Jun 07 2015, Apr 16 2011
%o A189056 (PARI) isok(n) = (n==0) || #setintersect(Set(digits(n)), Set(digits(n^2))); \\ _Michel Marcus_, Jun 13 2015
%Y A189056 Cf. A029783, A076493, A258682.
%K A189056 nonn,base
%O A189056 1,3
%A A189056 _Reinhard Zumkeller_, Apr 16 2011