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 A041633 Denominators of continued fraction convergents to sqrt(335). 2
 1, 3, 10, 33, 1198, 3627, 12079, 39864, 1447183, 4381413, 14591422, 48155679, 1748195866, 5292743277, 17626425697, 58172020368, 2111819158945, 6393629497203, 21292707650554, 70271752448865, 2551075795809694, 7723499139877947, 25721573215443535 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS 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). FORMULA 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 MATHEMATICA 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 *) PROG (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 CROSSREFS Cf. A041632, A040316. Sequence in context: A149031 A145928 A006535 * A308499 A034215 A193036 Adjacent sequences: A041630 A041631 A041632 * A041634 A041635 A041636 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS More terms from Colin Barker, Nov 20 2013 STATUS approved

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Last modified March 26 10:36 EDT 2023. Contains 361540 sequences. (Running on oeis4.)