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A042119
Denominators of continued fraction convergents to sqrt(584).
2
1, 6, 289, 1740, 83809, 504594, 24304321, 146330520, 7048169281, 42435346206, 2043944787169, 12306104069220, 592736940109729, 3568727744727594, 171891668687034241, 1034918739866933040, 49847991182299820161, 300122865833665854006, 14455745551198260812449
OFFSET
0,2
FORMULA
G.f.: -(x^2-6*x-1) / (x^4-290*x^2+1). - Colin Barker, Dec 02 2013
a(n) = 290*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 15 2014
MATHEMATICA
Denominator[Convergents[Sqrt[584], 30]] (* Vincenzo Librandi, Jan 15 2014 *)
PROG
(Magma) I:=[1, 6, 289, 1740]; [n le 4 select I[n] else 290*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 15 2014
CROSSREFS
Sequence in context: A340540 A027875 A203422 * A196980 A197165 A264706
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 02 2013
STATUS
approved