login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272712 Perfect powers that are the difference of two nonnegative Fibonacci numbers. 0
1, 4, 8, 16, 32, 81, 144, 225, 343, 576 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Listed 10 terms are 1, 2^2, 2^3, 2^4, 2^5, 3^4, 12^2, 15^2, 3^5, 24^2.

1, 4, 8, 16, 32, 81, 343 are also members of A000961.

1, 4, 8, 16, 144 are in the intersection of this sequence and A272575.

Is this sequence finite?

If a(11) exists, it must be larger than 10^2000. - Giovanni Resta, May 25 2016

LINKS

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

EXAMPLE

32 is a term because 32 = 2^5 = 34 - 2 = Fibonacci(9) - Fibonacci(3).

MAPLE

isA272712 := proc(n)

isA001597(n) and isA007298(n) ; #uses code in A001597 and A007298

end proc:

for n from 1 do

if isA272712(n) then

printf("%d\n", n) ;

end if;

end do: # R. J. Mathar, May 25 2016

CROSSREFS

Cf. A007298, A001597, A219114, A272575.

Sequence in context: A089890 A338313 A049932 * A020161 A068890 A073856

Adjacent sequences: A272709 A272710 A272711 * A272713 A272714 A272715

KEYWORD

nonn,more

AUTHOR

Altug Alkan, May 05 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 09:26 EST 2022. Contains 358608 sequences. (Running on oeis4.)