login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A071866 Number of elements in the continued fraction for prime(n+1)/prime(n). 7
2, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 6, 6, 4, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 6, 3, 5, 3, 3, 4, 4, 3, 3, 4, 4, 6, 3, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 3, 3, 3, 5, 4, 4, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

prime(5)/prime(4) = 11/7, 11/7 continued fraction is [1, 1, 1, 3] which contains 4 elements, hence a(4)=4.

MAPLE

seq(nops(convert(ithprime(n+1)/ithprime(n), confrac)), n=1..200); # Robert Israel, May 29 2018

MATHEMATICA

Table[Length[ContinuedFraction[Prime[n + 1]/Prime[n]]], {n, 105}] - Ray Chandler, Sep 18 2005

PROG

(PARI) for(n=1, 200, print1(length(contfrac(prime(n+1)/prime(n))), ", "))

CROSSREFS

Cf. A110021, A109374, A112323, A112324, A112768.

Sequence in context: A215469 A007554 A139069 * A077603 A077567 A096344

Adjacent sequences:  A071863 A071864 A071865 * A071867 A071868 A071869

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Jun 09 2002

EXTENSIONS

More terms from Hans Havermann, Jul 06 2002

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 14 09:25 EDT 2019. Contains 327995 sequences. (Running on oeis4.)