|
Search: id:A066932
|
|
|
| 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. |
|
+0 4
|
|
| 1, 1, 2, 6, 21, 224, 10848, 4843293, 98262557120, 989063619297120960, 197348115975871052843094930213, 380244324677612882673067751880150651746235378560
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
lim_{n->infty} b(n)=sqrt(2) with geometric convergence since abs(b(n)-sqrt(2))<2*2^(-n/2)
|
|
FORMULA
|
a(n+1)=A057677(n)*A057677(n-1) - Benoit Cloitre (benoit7848c(AT)orange.fr), 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 (markdols99(AT)yahoo.com), Jul 17 2009]
|
|
CROSSREFS
|
Cf. A057677.
Sequence in context: A126060 A110306 A028936 this_sequence A084392 A156155 A129534
Adjacent sequences: A066929 A066930 A066931 this_sequence A066933 A066934 A066935
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Oct 24 2002
|
|
EXTENSIONS
|
Edited by Benoit Cloitre, Oct 25 2005
|
|
|
Search completed in 0.002 seconds
|