A236391 - OEIS

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A236391

Positive numbers n such that 100*n^2/(100+n^2) are integers.

0

5, 10, 20, 30, 70

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Rewrite 100n^2/(100+n^2) as an I : n=sqrt(100I/(100-I)), where a finite substitution for I results.

Instead of 100, we could use 72 and get n=8,24,48,64; we could use 162 and get n=54,108,144,150. Many other values are possible.

LINKS

Table of n, a(n) for n=1..5.

EXAMPLE

for n=20, 100*20^2/(100+20^2)=I or 80.

MATHEMATICA

Select[Range[1000], IntegerQ[100*#^2/(100 + #^2)] &] (* T. D. Noe, Jan 29 2014 *)

CROSSREFS

Sequence in context: A027884 A370532 A331141 * A026357 A117518 A107486

Adjacent sequences: A236388 A236389 A236390 * A236392 A236393 A236394

KEYWORD

nonn,fini,full

AUTHOR

Larry J Zimmermann, Jan 24 2014

STATUS

approved