login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A066932 a(n) is the denominator of b(n) where b(n)=1/b(n-1)+1/b(n-2) with b(1)=1 and b(2)=2. 3
1, 1, 2, 6, 21, 224, 10848, 4843293, 98262557120, 989063619297120960, 197348115975871052843094930213, 380244324677612882673067751880150651746235378560 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

lim_{n->infty} b(n)=sqrt(2) with geometric convergence since abs(b(n)-sqrt(2))<2*2^(-n/2)

LINKS

Table of n, a(n) for n=1..12.

FORMULA

a(n+1)=A057677(n)*A057677(n-1) - Benoit Cloitre, Oct 25 2005

a(n) is the numerator of b(n) where b(n)=1/(b(n-1)+ b(n-2)) with b(1)=1 and b(2)=2 [From Mark Dols, Jul 17 2009]

CROSSREFS

Cf. A057677.

Sequence in context: A182157 A110306 A028936 * A181754 A084392 A156155

Adjacent sequences:  A066929 A066930 A066931 * A066933 A066934 A066935

KEYWORD

nonn,frac

AUTHOR

Zak Seidov, Oct 24 2002

EXTENSIONS

Edited by Benoit Cloitre, Oct 25 2005

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 September 19 21:42 EDT 2020. Contains 337184 sequences. (Running on oeis4.)