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A162691 Strictly positive numbers n such that 24*n/(24+n) are integers. 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

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

CROSSREFS

Cf. A162688, A162689, A162690

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

Sequence in context: A278902 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

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Last modified December 9 22:27 EST 2019. Contains 329880 sequences. (Running on oeis4.)