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A162688 Strictly positive numbers n such that 12*n/(12+n) are integers. 19

%I #4 Mar 31 2012 12:38:25

%S 4,6,12,24,36,60,132

%N Strictly positive numbers n such that 12*n/(12+n) are integers.

%C The 12 row of A127730.

%C The ansatz 12*n/(12+n)=j (any integer j) yields n=12*j/(12-j) which demonstrates that the sequence is finite if n>=0. [R. J. Mathar, Jul 13 2009]

%t f[a_,b_]:=(a*b)/(a+b); a=12;lst={};Do[If[f[a,n]==IntegerPart[f[a,n]],AppendTo[lst,n]],{n,9!}];lst

%Y Cf. A127730. [From _Franklin T. Adams-Watters_, Aug 07 2009]

%K nonn,fini,full

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 10 2009

%E Edited by _R. J. Mathar_, Jul 13 2009

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Last modified May 1 10:17 EDT 2024. Contains 372163 sequences. (Running on oeis4.)