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 A042644 Numerators of continued fraction convergents to sqrt(852). 2
 29, 146, 467, 1080, 4787, 10654, 36749, 194399, 11311891, 56753854, 181573453, 419900760, 1861176493, 4142253746, 14287937731, 75581942401, 4398040596989, 22065784927346, 70595395379027, 163256575685400, 723621698120627, 1610499971926654 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 388798, 0, 0, 0, 0, 0, 0, 0, -1). FORMULA G.f.: -(x^15 -29*x^14 +146*x^13 -467*x^12 +1080*x^11 -4787*x^10 +10654*x^9 -36749*x^8 -194399*x^7 -36749*x^6 -10654*x^5 -4787*x^4 -1080*x^3 -467*x^2 -146*x -29) / (x^16 -388798*x^8 +1). - Colin Barker, Dec 20 2013 MATHEMATICA Numerator[Convergents[Sqrt[852], 30]] (* Vincenzo Librandi, Nov 30 2013 *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 388798, 0, 0, 0, 0, 0, 0, 0, -1}, {29, 146, 467, 1080, 4787, 10654, 36749, 194399, 11311891, 56753854, 181573453, 419900760, 1861176493, 4142253746, 14287937731, 75581942401}, 30] (* Harvey P. Dale, Mar 13 2015 *) CROSSREFS Cf. A042645, A040822. Sequence in context: A297722 A042642 A172075 * A263126 A221981 A139997 Adjacent sequences: A042641 A042642 A042643 * A042645 A042646 A042647 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Dec 20 2013 STATUS approved

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Last modified April 17 13:58 EDT 2024. Contains 371764 sequences. (Running on oeis4.)