A232660 Numbers n such that n and n^5 have the same set of digits.

0, 1, 10, 100, 1000, 10000, 39568, 100000, 395680, 1000000, 2114325, 2751490, 3246105, 3956800, 4356891, 4768209, 4926051, 6274019, 8021439, 10000000, 10267394, 10352849, 10368279, 10456932, 10478632, 10489723, 10489725, 10527934, 10567293, 10639428, 10827439

Offset

1,3

Links

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

B. Avila and T. Khovanova, Free Fibonacci Sequences, arXiv preprint arXiv:1403.4614, 2014

Example

{3, 5, 6, 8, 9} - the set of digits of 39568 and of 39568^5, so 39568 is in the sequence.

Prog

(Magma) [n : n in [0..10827439] | Set(Intseq(n)) eq Set(Intseq(n^5))];
(PARI) for(n=0, 10827439, if(Set(Vec(Str(n)))==Set(Vec(Str(n^5))), print1(n, ", ")));

Crossrefs

Cf. A029793, A029795, A232659, A232661, A232662.

Sequence in context: A135653 A219111 A232659 * A052211 A136845 A272503

Adjacent sequences: A232657 A232658 A232659 * A232661 A232662 A232663

Keyword

nonn,base

Author

Arkadiusz Wesolowski, Nov 27 2013

Status

approved