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

Author

T. D. Noe, Nov 09 2011

Keywords

• nonn
• base
• fini
• full

Comments

Currently same terms as A114260, but that sequence has more terms to follow. - Ray Chandler, Aug 23 2023

Examples

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

Crossrefs

Cf. A050278 (pandigital numbers), A199630, A199631, A199633. Subsequence of A114260.

Programs

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 *)