OFFSET
1,3
COMMENTS
Limit_{n->oo} b(n)=sqrt(2) with geometric convergence since abs(b(n)-sqrt(2))<2*2^(-n/2)
FORMULA
a(n) is the numerator of c(n) where c(n)=1/(c(n-1)+c(n-2)) with c(0)=c(1)=1. - Mark Dols, Jul 17 2009
MATHEMATICA
nxt[{a_, b_}]:={b, 1/a+1/b}; NestList[nxt, {1, 2}, 20][[;; , 1]]//Denominator (* Harvey P. Dale, Apr 02 2024 *)
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Zak Seidov, Oct 24 2002
EXTENSIONS
Edited by Benoit Cloitre, Oct 25 2005
STATUS
approved