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%I #50 May 02 2020 02:19:44
%S 2,3,7,8,22,27,43,47,48,52,53,63,68,77,92,157,172,177,187,188,192,222,
%T 223,252,263,303,378,408,423,442,458,468,477,478,487,527,552,558,577,
%U 587,588,608,648,692,707,772,808,818,823,843,888,918,922
%N Numbers k whose cube k^3 has no digit in common with k.
%C Original name: Digits of n are not present in n^3.
%C Might be called "Exclusionary Cubes", although this might be reserved for terms having no duplicate digits, cf. link to rec.puzzles discussion group. In that case the largest term would be 7658 = A113951(3). - _M. F. Hasler_, Oct 17 2018; corrected thanks to _David Radcliffe_ and _Michel Marcus_, Apr 30 2020
%H Giovanni Resta, <a href="/A029785/b029785.txt">Table of n, a(n) for n = 1..1699</a> (terms < 10^19, first 528 terms from Charles R Greathouse IV)
%H Cliff Pickover et al, <a href="https://groups.google.com/forum/#!topic/rec.puzzles/ubSItPD_DGY">Exclusionary Squares and Cubes</a>, rec.puzzles topic on google groups, January 2002
%e k = 80800000008880080808880080088 is in the sequence because the 87-digit number k^3 has only digits 1, ..., 7 and 9. - _M. F. Hasler_, Oct 16 2018
%t Select[Range[5000], Intersection[IntegerDigits[#], IntegerDigits[#^3]]=={}&] (* _Vincenzo Librandi_, Oct 04 2013 *)
%o (PARI) is(n)=my(d=Set(digits(n))); setminus(d,Set(digits(n^3)))==d \\ _Charles R Greathouse IV_, Oct 02 2013
%o (PARI) is_A029785(n)=setintersect(Set(digits(n)),Set(digits(n^3)))==[] \\ _M. F. Hasler_, Oct 16 2018
%Y Cf. A029786, A029783, A029784, A111116, A113316.
%K nonn,base
%O 1,1
%A _Patrick De Geest_
%E Name reworded by _Jon E. Schoenfield_ and _M. F. Hasler_, Oct 16 2018
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