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 A042711 Denominators of continued fraction convergents to sqrt(885). 2
 1, 1, 3, 4, 235, 239, 713, 952, 55929, 56881, 169691, 226572, 13310867, 13537439, 40385745, 53923184, 3167930417, 3221853601, 9611637619, 12833491220, 753954128379, 766787619599, 2287529367577, 3054316987176, 179437914623785, 182492231610961 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 238, 0, 0, 0, -1). FORMULA G.f.: -(x^2-x-1)*(x^4+4*x^2+1) / (x^8-238*x^4+1). - Colin Barker, Dec 22 2013 a(n) = 238*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 22 2013 MATHEMATICA Denominator[Convergents[Sqrt[885], 30]] (* Vincenzo Librandi, Dec 22 2013 *) LinearRecurrence[{0, 0, 0, 238, 0, 0, 0, -1}, {1, 1, 3, 4, 235, 239, 713, 952}, 30] (* Harvey P. Dale, Mar 25 2019 *) PROG (Magma) I:=[1, 1, 3, 4, 235, 239, 713, 952]; [n le 8 select I[n] else 238*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013 CROSSREFS Cf. A042710, A040855. Sequence in context: A349885 A042485 A111315 * A195566 A348278 A348280 Adjacent sequences: A042708 A042709 A042710 * A042712 A042713 A042714 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Dec 22 2013 STATUS approved

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Last modified May 23 18:59 EDT 2024. Contains 372765 sequences. (Running on oeis4.)