A199633 Numbers having each digit once and whose 6th power has each digit six times.

7025869314, 7143258096, 7931584062, 8094273561, 8920416357, 9247560381

Offset

1,1

Comments

There are 6 numbers total. There are no higher powers with this property.

Links

Table of n, a(n) for n=1..6.

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

Author?, All terms

Example

7025869314 ^6 = 120281934463386157260042215510596389732740014997586987548736.

Mathematica

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^6]] == {6} &]; FromDigits /@ t2

Crossrefs

Cf. A050278 (pandigital numbers), A199630, A199631, A365144, A199632.

Sequence in context: A233502 A113640 A233623 * A288274 A078512 A235390

Adjacent sequences: A199630 A199631 A199632 * A199634 A199635 A199636

Keyword

nonn,base,fini,full

Author

T. D. Noe, Nov 09 2011

Status

approved