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Search: id:A162823
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| A162823 |
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Positive numbers n such that 42*n/(42-n) are integers. |
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+0 6
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| 6, 14, 21, 24, 28, 30, 33, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 51, 54, 56, 60, 63, 70, 78, 84, 91, 105, 126, 140, 168, 189, 238, 294, 336, 483, 630, 924, 1806
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OFFSET
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1,1
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COMMENT
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The number n=42 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=42; 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, A162822
Sequence in context: A064709 A118129 A046712 this_sequence A020171 A122784 A063299
Adjacent sequences: A162820 A162821 A162822 this_sequence A162824 A162825 A162826
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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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