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A041635
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Denominators of continued fraction convergents to sqrt(336).
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2
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1, 3, 109, 330, 11989, 36297, 1318681, 3992340, 145042921, 439121103, 15953402629, 48299328990, 1754729246269, 5312487067797, 193004263686961, 584325278128680, 21228714276319441, 64270468107087003, 2334965566131451549, 7069167166501441650
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,110,0,-1).
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FORMULA
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G.f.: -(x^2-3*x-1) / (x^4-110*x^2+1). - Colin Barker, Nov 20 2013
a(n) = 110*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 22 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[336], 30]] (* Vincenzo Librandi, Dec 22 2013 *)
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PROG
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(Magma) I:=[1, 3, 109, 330]; [n le 4 select I[n] else 110*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
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CROSSREFS
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Cf. A041634, A040317.
Sequence in context: A112879 A172271 A053861 * A272572 A142533 A089904
Adjacent sequences: A041632 A041633 A041634 * A041636 A041637 A041638
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Additional term from Colin Barker, Nov 20 2013
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STATUS
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approved
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