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 A042033 Denominators of continued fraction convergents to sqrt(540). 2
 1, 4, 17, 21, 227, 248, 1219, 5124, 236923, 952816, 4048187, 5001003, 54058217, 59059220, 290295097, 1220239608, 56421317065, 226905507868, 964043348537, 1190948856405, 12873531912587, 14064480768992, 69131454988555, 290590300723212, 13436285288256307 (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 (0,0,0,0,0,0,0,238142,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^14 -4*x^13 +17*x^12 -21*x^11 +227*x^10 -248*x^9 +1219*x^8 -5124*x^7 -1219*x^6 -248*x^5 -227*x^4 -21*x^3 -17*x^2 -4*x -1) / ((x^8 -488*x^4 +1)*(x^8 +488*x^4 +1)). - Colin Barker, Nov 29 2013 a(n) = 238142*a(n-8) - a(n-16). - Wesley Ivan Hurt, Sep 05 2022 MATHEMATICA Denominator[Convergents[Sqrt[540], 30]] (* Vincenzo Librandi, Jan 12 2014 *) CROSSREFS Cf. A042032, A040516. Sequence in context: A193379 A022134 A041529 * A281464 A192197 A009226 Adjacent sequences: A042030 A042031 A042032 * A042034 A042035 A042036 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS More terms from Colin Barker, Nov 29 2013 STATUS approved

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Last modified February 5 23:07 EST 2023. Contains 360091 sequences. (Running on oeis4.)