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

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

Offset

1,1

Comments

The 12 row of A127730.

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]

Links

Table of n, a(n) for n=1..7.

Mathematica

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

Crossrefs

Cf. A127730. [From Franklin T. Adams-Watters, Aug 07 2009]

Sequence in context: A120211 A308471 A357809 * A362883 A352634 A070232

Adjacent sequences: A162685 A162686 A162687 * A162689 A162690 A162691

Keyword

nonn,fini,full

Author

Vladimir Joseph Stephan Orlovsky, Jul 10 2009

Extensions

Edited by R. J. Mathar, Jul 13 2009

Status

approved