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A365144
Numbers having each digit once and whose 4th power has each digit four times.
8
5702631489, 7264103985, 7602314895, 7824061395, 8105793624, 8174035962, 8304269175, 8904623175, 8923670541, 9451360827, 9785261403, 9804753612, 9846032571
OFFSET
1,1
COMMENTS
Currently same terms as A114260, but that sequence has more terms to follow. - Ray Chandler, Aug 23 2023
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. A050278 (pandigital numbers), A199630, A199631, A199633. Subsequence of A114260.
Sequence in context: A322696 A322687 A322697 * A114260 A344737 A344738
KEYWORD
nonn,base,fini,full
AUTHOR
T. D. Noe, Nov 09 2011
STATUS
approved