A199631 Numbers having each digit once and whose cube has each digit three times.

4680215379, 4752360918, 4765380219, 4915280637, 5063248197, 5164738920, 5382417906, 5426370189, 5429013678, 5628130974, 5679321048, 5697841320, 5762831940, 5783610492, 5786430129, 5903467821, 6019285734, 6053147982, 6095721483, 6143720958, 6158723094

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..74 (all terms).

Patrick De Geest, The nine digits (page 4) with some ten digit (pandigital) exceptions

Author?, All terms

Example

4680215379^3 = 102517384602327906545167884939.

Mathematica

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^3]] == {3} &]; FromDigits /@ t2

Prog

(Python)
from itertools import permutations
def afull(): return sorted(t for p in permutations("0123456789") if p[0]!='0' and len(s:=str((t:=int("".join(p)))**3))==30 and all(s.count(d)==3 for d in "123456789"))
print(afull()) # Michael S. Branicky, Nov 16 2025

Crossrefs

Cf. A050278 (pandigital numbers), A199630, A365144, A199632, A199633. Subsequence of A114259.

Sequence in context: A034916 A172726 A172797 * A124977 A128172 A050259

Adjacent sequences: A199628 A199629 A199630 * A199632 A199633 A199634

Keyword

nonn,base,fini,full

Author

T. D. Noe, Nov 09 2011

Status

approved