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

Author

Arkadiusz Wesolowski, Nov 27 2013

Keywords

• nonn
• base

Examples

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

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

Crossrefs

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

Programs

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, ", ")));