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A199633 Numbers having each digit once and whose 6th power has each digit six times. 5
7025869314, 7143258096, 7931584062, 8094273561, 8920416357, 9247560381 (list; graph; refs; listen; history; text; internal format)
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

unknown, 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, A114260, 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

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Last modified July 27 04:52 EDT 2017. Contains 289841 sequences.