

A114260


Numbers n such that the 4th power of n contains exactly 4 copies of each digit of n.


9



5702631489, 7264103985, 7602314895, 7824061395, 8105793624, 8174035962, 8304269175, 8904623175, 8923670541, 9451360827, 9785261403, 9804753612, 9846032571
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OFFSET

1,1


COMMENTS

All terms of the sequence are also pandigital, i.e., they contain all the 10 digits once. This is probably accidental, but quite curious.


LINKS

Table of n, a(n) for n=1..13.
Carlos Rivera, Puzzle 971. The cube of N such that..., The Prime Puzzles & Problems Connection.


EXAMPLE

5702631489 is a term since its 4th power 1057550783692741389295697108242363408641 contains four 5's, four 7's, four 0's and so on.


MATHEMATICA

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^4]] == {4} &]; FromDigits /@ t2 (* T. D. Noe, Nov 08 2011 *)


CROSSREFS

Cf. A114258, A114259, A114261.
Sequence in context: A322696 A322687 A322697 * A113644 A234059 A032433
Adjacent sequences: A114257 A114258 A114259 * A114261 A114262 A114263


KEYWORD

base,nonn,full,fini


AUTHOR

Giovanni Resta, Nov 18 2005


STATUS

approved



