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When cubed gives number composed just of the digits 1, 2, 3, 4.
0

%I #19 Apr 13 2021 14:11:28

%S 1,7,11,68,1039247

%N When cubed gives number composed just of the digits 1, 2, 3, 4.

%C No more terms through 10^13. - _Jon E. Schoenfield_, Jul 03 2010

%C No more terms through 5*10^16. - _David A. Corneth_, Mar 17 2019

%t Do[ If[ Union[ Join[ {1, 2, 3, 4}, IntegerDigits[n^3] ]] == {1, 2, 3, 4}, Print[n]], {n, 0, 10^8} ]

%t Table[Surd[#,3]&/@Select[FromDigits/@Tuples[{1,2,3,4},n],IntegerQ[ Surd[ #,3]]&],{n,6}]//Flatten (* The program generates the first 4 terms of the sequence; to generate the 5th term, change the "6" to "19," but the program will take a long time to run. *) (* _Harvey P. Dale_, Apr 13 2021 *)

%Y Cf. A031997 (odd and digits 0,1,2,3), A043681 (0,1,2,3), A048792 (0,1,2,3,4), A061813 (1,2,3,4,5).

%K base,more,nonn

%O 1,2

%A _Robert G. Wilson v_, Jun 23 2001