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URL: https://oeis.org/A076659

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A076659
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.
1
1, 1, 1, 2, 10, 155, 2573, 743265, 12908354895, 75801161569084271, 3405519155619352610554892553, 1003520149619351981752459025306803116214254621
OFFSET
1,4
COMMENTS
f(n) -> Sqrt[2n], a slowly converging sequence.
EXAMPLE
f(3) = 2/f(2)+1/f(1) = 2/2+1/1 = 2/1, therefore in the sequence, 3rd term is 1.
PROG
(Maxima)
a[1]:1$
a[2]:2$
a[n]:=(n-1)/a[n-1]+(n-2)/a[n-2];
makelist(ratdenom(a[n]), n, 1, 15); /* Martin Ettl, Oct 30 2012*/
CROSSREFS
Cf. A076658.
Sequence in context: A007080 A231517 A134088 * A197313 A294352 A007131
KEYWORD
nonn,frac
AUTHOR
Zak Seidov, Oct 24 2002
STATUS
approved