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A232659
Numbers n such that n and n^4 have the same set of digits.
7
0, 1, 10, 100, 1000, 10000, 35641, 100000, 129486, 146980, 356410, 465780, 1000000, 1059281, 1083749, 1206794, 1239876, 1245890, 1265360, 1294860, 1297853, 1348970, 1469800, 1486920, 1495860, 1567038, 1572086, 1574689, 1956740, 2035817, 2084615, 2114760
OFFSET
1,3
LINKS
EXAMPLE
{1, 3, 4, 5, 6} - the set of digits of 35641 and of 35641^4, so 35641 is in the sequence.
MATHEMATICA
Select[Range[0, 22*10^5], Union[IntegerDigits[#]]== Union[ IntegerDigits[ #^4]]&] (* Harvey P. Dale, Aug 02 2016 *)
PROG
(Magma) [n : n in [0..2114760] | Set(Intseq(n)) eq Set(Intseq(n^4))];
(PARI) for(n=0, 2114760, if(Set(Vec(Str(n)))==Set(Vec(Str(n^4))), print1(n, ", ")));
CROSSREFS
KEYWORD
nonn,base
AUTHOR
STATUS
approved