A076659 - OEIS

%I #8 Oct 30 2012 06:06:23

%S 1,1,1,2,10,155,2573,743265,12908354895,75801161569084271,

%T 3405519155619352610554892553,

%U 1003520149619351981752459025306803116214254621

%N Denominator of f(n), where for n>2, f(n) = (n-1)/f(n-1)+(n-2)/f(n-2), with f(1) = 1, f(2) = 2.

%C f(n) -> Sqrt[2n], a slowly converging sequence.

%e f(3) = 2/f(2)+1/f(1) = 2/2+1/1 = 2/1, therefore in the sequence, 3rd term is 1.

%o (Maxima)

%o a[1]:1$

%o a[2]:2$

%o a[n]:=(n-1)/a[n-1]+(n-2)/a[n-2];

%o makelist(ratdenom(a[n]),n,1,15); /* _Martin Ettl_, Oct 30 2012*/

%Y Cf. A076658.

%K nonn,frac

%O 1,4

%A _Zak Seidov_, Oct 24 2002