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A162692 Strictly positive numbers n such that 28*n/(28+n) are integers. 14
21, 28, 70, 84, 168, 364, 756 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The 28th row of A127730.

The ansatz 28*n/(28+n)=j (any integer j) yields n=28*j/(28-j) which demonstrates that the sequence is finite if n>=0. [R. J. Mathar, Jul 13 2009]

MATHEMATICA

f[a_, b_]:=(a*b)/(a+b); a=28; lst={}; Do[If[f[a, n]==IntegerPart[f[a, n]], AppendTo[lst, n]], {n, 9!}]; lst

CROSSREFS

Cf. A162688, A162689, A162690, A162691

Cf. A127730. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Aug 07 2009]

Sequence in context: A168105 A048012 A130202 * A048067 A166647 A119107

Adjacent sequences:  A162689 A162690 A162691 * A162693 A162694 A162695

KEYWORD

nonn,fini,full

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 10 2009

EXTENSIONS

Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009

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Last modified February 17 11:35 EST 2012. Contains 206011 sequences.