A232659 Numbers n such that n and n^4 have the same set of digits.

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

Lars Blomberg, Table of n, a(n) for n = 1..10000

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

Cf. A029793, A029795, A232660-A232662.

Sequence in context: A136871 A135653 A219111 * A232660 A052211 A136845

Adjacent sequences: A232656 A232657 A232658 * A232660 A232661 A232662

Keyword

nonn,base

Author

Arkadiusz Wesolowski, Nov 27 2013

Status

approved