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A067044
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Smallest positive k such that k*n contains only even digits.
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2
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2, 1, 2, 1, 4, 1, 4, 1, 32, 2, 2, 2, 2, 2, 4, 3, 4, 16, 12, 1, 2, 1, 2, 1, 8, 1, 18, 1, 14, 2, 2, 2, 2, 2, 8, 8, 6, 6, 12, 1, 2, 1, 2, 1, 64, 1, 6, 1, 14, 4, 4, 4, 8, 9, 4, 4, 4, 7, 14, 1, 4, 1, 14, 1, 4, 1, 4, 1, 12, 4, 4, 4, 28, 3, 8, 3, 6, 6, 34, 1, 6, 1, 8, 1, 8, 1, 24, 1, 32, 32, 22, 5, 22, 3
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(7)=4 as among the multiples of 7 i.e. 7,14,21,28 28 is the smallest multiple with only even digits and a(7)= 28/7 = 4.
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MATHEMATICA
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Table[k = n; While[Length[Intersection[{1, 3, 5, 7, 9}, IntegerDigits[k]]] > 0, k = k + n]; k/n, {n, 100}] (* T. D. Noe, Jun 03 2013 *)
sk[n_]:=Module[{k=1}, While[!AllTrue[IntegerDigits[k*n], EvenQ], k++]; k]; Array[sk, 100] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 27 2015 *)
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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EXTENSIONS
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More terms from Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), May 06 2002
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STATUS
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approved
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