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A133598 Numbers n with all digits different, such that none of its digits divide n, but all digits not in n do divide n. 2
5936, 45798, 45978, 47598, 47958, 49578, 49758, 54798, 57894, 58794, 58974, 59478, 59836, 59874, 74598, 74958, 75498, 78594, 78954, 79458, 79854, 85794, 87594, 87954, 89574, 94578, 94758, 95478, 95874, 97458, 97854, 98754, 346598, 358694 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

Rodolfo Kurchan, Snark, December 2007

LINKS

Rodolfo Kurchan, Dec 27 2007, Table of n, a(n) for n = 1..100

EXAMPLE

5936 is because 5936 is not divisible by 3, 5, 6 or 9 and is divisible by 1, 2, 4, 7 and 8.

MATHEMATICA

addQ[n_]:=Module[{idn=IntegerDigits[n]}, FreeQ[idn, 0]&&Max[DigitCount[ n]] == 1&&Union[Divisible[n, idn]]=={False}&&And@@Divisible[n, Complement[ Range[ 9], idn]]]; Select[Range[400000], addQ] (* Harvey P. Dale, Oct 25 2017 *)

CROSSREFS

Cf. A133606.

Sequence in context: A251464 A031575 A031755 * A028517 A289515 A186479

Adjacent sequences:  A133595 A133596 A133597 * A133599 A133600 A133601

KEYWORD

nonn,base

AUTHOR

Rodolfo Kurchan, Dec 27 2007

STATUS

approved

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Last modified September 20 10:10 EDT 2019. Contains 327229 sequences. (Running on oeis4.)