A365144 Numbers having each digit once and whose 4th power has each digit four times.

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

Links

Table of n, a(n) for n=1..13.

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

Adjacent sequences: A365141 A365142 A365143 * A365145 A365146 A365147

Keyword

nonn,base,fini,full

Author

T. D. Noe, Nov 09 2011

Status

approved