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A041629
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Denominators of continued fraction convergents to sqrt(333).
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2
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1, 4, 145, 584, 21169, 85260, 3090529, 12447376, 451196065, 1817231636, 65871534961, 265303371480, 9616792908241, 38732475004444, 1403985893068225, 5654676047277344, 204972323595052609, 825543970427487780, 29924555258984612689, 120523765006365938536
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: -(x^2-4*x-1) / ((x^2-12*x-1)*(x^2+12*x-1)). - Colin Barker, Nov 20 2013
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MATHEMATICA
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LinearRecurrence[{0, 146, 0, -1}, {1, 4, 145, 584}, 20] (* Harvey P. Dale, Jul 18 2024 *)
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PROG
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(Magma) I:=[1, 4, 145, 584]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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