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 A041171 Denominators of continued fraction convergents to sqrt(95). 2
 1, 1, 3, 4, 75, 79, 233, 312, 5849, 6161, 18171, 24332, 456147, 480479, 1417105, 1897584, 35573617, 37471201, 110516019, 147987220, 2774285979, 2922273199, 8618832377, 11541105576, 216358732745, 227899838321, 672158409387, 900058247708, 16873206868131, 17773265115839 (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 (0,0,0,78,0,0,0,-1). FORMULA G.f.: (1 +x +3*x^2 +4*x^3 -3*x^4 +x^5 -x^6)/(1 -78*x^4 +x^8). - Vincenzo Librandi, Dec 12 2013 a(n) = 78*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 12 2013 MATHEMATICA Denominator[Convergents[Sqrt[95], 30]] (* or *) CoefficientList[Series[(1 + x + 3 x^2 + 4 x^3 - 3 x^4 + x^5 - x^6)/(1 - 78 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 12 2013 *) LinearRecurrence[{0, 0, 0, 78, 0, 0, 0, -1}, {1, 1, 3, 4, 75, 79, 233, 312}, 30] (* Harvey P. Dale, Mar 12 2016 *) PROG (Magma) I:=[1, 1, 3, 4, 75, 79, 233, 312]; [n le 8 select I[n] else 78*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 12 2013 CROSSREFS Cf. A041170. Sequence in context: A318208 A341851 A132414 * A279935 A111799 A135237 Adjacent sequences: A041168 A041169 A041170 * A041172 A041173 A041174 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS More terms from Vincenzo Librandi, Dec 12 2013 STATUS approved

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Last modified March 23 16:58 EDT 2023. Contains 361449 sequences. (Running on oeis4.)