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A041633
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Denominators of continued fraction convergents to sqrt(335).
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2
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1, 3, 10, 33, 1198, 3627, 12079, 39864, 1447183, 4381413, 14591422, 48155679, 1748195866, 5292743277, 17626425697, 58172020368, 2111819158945, 6393629497203, 21292707650554, 70271752448865, 2551075795809694, 7723499139877947, 25721573215443535
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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, 0, 0, 1208, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^2-3*x-1)*(x^4+11*x^2+1) / (x^8-1208*x^4+1). - Colin Barker, Nov 20 2013
a(n) = 1208*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 22 2013
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MATHEMATICA
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Denominator[Convergents[Sqrt[335], 30]] (* Vincenzo Librandi, Dec 22 2013 *)
LinearRecurrence[{0, 0, 0, 1208, 0, 0, 0, -1}, {1, 3, 10, 33, 1198, 3627, 12079, 39864}, 30] (* Harvey P. Dale, Aug 11 2019 *)
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PROG
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(Magma) I:=[1, 3, 10, 33, 1198, 3627, 12079, 39864]; [n le 8 select I[n] else 1208*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
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CROSSREFS
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Cf. A041632, A040316.
Sequence in context: A149031 A145928 A006535 * A308499 A034215 A193036
Adjacent sequences: A041630 A041631 A041632 * A041634 A041635 A041636
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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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More terms from Colin Barker, Nov 20 2013
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STATUS
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approved
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