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Search: id:A162822
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| A162822 |
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Positive numbers n such that 36*n/(36-n) are integers. |
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+0
7
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| 9, 12, 18, 20, 24, 27, 28, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 44, 45, 48, 52, 54, 60, 63, 72, 84, 90, 108, 117, 144, 180, 198, 252, 360, 468, 684, 1332
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OFFSET
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1,1
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COMMENT
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The number n=36 is explicitly included, treating the result of division through zero as an integer.
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MATHEMATICA
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f[a_, b_]:=(a*b)/(a-b); a=36; 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, A162821
Sequence in context: A027571 A154631 A141552 this_sequence A087269 A153973 A072702
Adjacent sequences: A162819 A162820 A162821 this_sequence A162823 A162824 A162825
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KEYWORD
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nonn,fini,full
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 13 2009
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EXTENSIONS
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Keywords fini,full added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2009
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