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

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

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jul 10 2009

Keywords

• nonn
• fini
• full

Comments

The 24th row of A127730.

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

Crossrefs

Cf. A162688, A162689, A162690

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

Programs

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 *)

Extensions

Edited by R. J. Mathar, Jul 13 2009