A162691 Strictly positive numbers k such that 24*k/(24+k) is an integer.

8, 12, 24, 40, 48, 72, 120, 168, 264, 552

Offset

1,1

Comments

The ansatz 24*k/(24+k)=j (any integer j) yields k=24*j/(24-j) which demonstrates that the sequence is finite if k>=0. - R. J. Mathar, Jul 13 2009

Links

Table of n, a(n) for n=1..10.

Mathematica

f[a_, b_]:=(a*b)/(a+b); a=24; lst={}; Do[If[f[a, n]==IntegerPart[f[a, n]], AppendTo[lst, n]], {n, 9!}]; lst
Select[Range[600], IntegerQ[(24#)/(24+#)]&] (* Harvey P. Dale, Jul 30 2021 *)

Crossrefs

Cf. A162688, A162689, A162690.

Row 24 of A127730. - Franklin T. Adams-Watters, Aug 07 2009

Sequence in context: A333754 A088525 A054735 * A328538 A077566 A241482

Adjacent sequences: A162688 A162689 A162690 * A162692 A162693 A162694

Keyword

nonn,fini,full

Author

Vladimir Joseph Stephan Orlovsky, Jul 10 2009

Extensions

Edited by R. J. Mathar, Jul 13 2009

Status

approved