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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 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, 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 March 19 22:30 EDT 2018. Contains 300927 sequences. (Running on oeis4.)