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A162691 Strictly positive numbers n such that 24*n/(24+n) is an integer. 15
8, 12, 24, 40, 48, 72, 120, 168, 264, 552 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
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]
LINKS
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. A127730. [From Franklin T. Adams-Watters, Aug 07 2009]
Sequence in context: A333754 A088525 A054735 * A328538 A077566 A241482
KEYWORD
nonn,fini,full
AUTHOR
EXTENSIONS
Edited by R. J. Mathar, Jul 13 2009
STATUS
approved

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)