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A162694
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Strictly positive numbers n such that 36*n/(36+n) are integers.
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12
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12, 18, 36, 45, 72, 108, 126, 180, 288, 396, 612, 1260
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OFFSET
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1,1
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COMMENTS
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The ansatz 36*n/(36+n) = j (any integer j) yields n = 36*j/(36-j) which demonstrates that the sequence is finite if n >= 0. - R. J. Mathar, Jul 13 2009
Positive integers n such that half of the harmonic mean of 36 and n is an integer. - Wesley Ivan Hurt, Sep 07 2014
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LINKS
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MATHEMATICA
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Select[Range[1000], IntegerQ[36#/(36 + #)] &] (* Alonso del Arte, Sep 06 2014 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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