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A162821
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Positive numbers k such that 30*k/(30-k) are integers.
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8
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5, 10, 12, 15, 18, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 40, 42, 45, 48, 50, 55, 60, 66, 75, 80, 90, 105, 120, 130, 180, 210, 255, 330, 480, 930
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OFFSET
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1,1
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COMMENTS
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The number k=30 is explicitly included, treating the result of division through zero as an integer.
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LINKS
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MAPLE
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for m from 1 to 930 do if(m=30 or m*30 mod (m-30) = 0)then printf("%d, ", m): fi: od: # Nathaniel Johnston, Jun 22 2011
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MATHEMATICA
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f[a_, b_]:=(a*b)/(a-b); a=30; lst={}; Do[If[f[a, n]==IntegerPart[f[a, n]], AppendTo[lst, n]], {n, 9!}]; lst
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CROSSREFS
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Cf. A162688, A162689, A162690, A162691, A162692, A162693, A162694, A162817, A162818, A162819, A162820, A191973.
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KEYWORD
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nonn,fini,full,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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