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A199631 Numbers having each digit once and whose cube has each digit three times. 10

%I #19 Aug 23 2023 13:38:05

%S 4680215379,4752360918,4765380219,4915280637,5063248197,5164738920,

%T 5382417906,5426370189,5429013678,5628130974,5679321048,5697841320,

%U 5762831940,5783610492,5786430129,5903467821,6019285734,6053147982,6095721483,6143720958,6158723094

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

%H T. D. Noe, <a href="/A199631/b199631.txt">Table of n, a(n) for n = 1..74</a> (all terms).

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/ninedig4.htm">The nine digits (page 4) with some ten digit (pandigital) exceptions</a>

%H Author?, <a href="http://web.archive.org/web/20080708203024/http://blue.kakiko.com/mmrmmr/htm/eqtn11.html">All terms</a>

%e 4680215379^3 = 102517384602327906545167884939.

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

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

%K nonn,base,fini,full

%O 1,1

%A _T. D. Noe_, Nov 09 2011

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Last modified April 25 12:53 EDT 2024. Contains 371969 sequences. (Running on oeis4.)