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 A042649 Denominators of continued fraction convergents to sqrt(854). 2
 1, 4, 9, 103, 421, 4734, 9889, 44290, 2578709, 10359126, 23296961, 266625697, 1089799749, 12254422936, 25598645621, 114649005420, 6675240959981, 26815612845344, 60306466650669, 690186746002703, 2821053450661481, 31721774703278994, 66264602857219469 (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, 2588598, 0, 0, 0, 0, 0, 0, 0, -1). FORMULA G.f.: -(x^14 -4*x^13 +9*x^12 -103*x^11 +421*x^10 -4734*x^9 +9889*x^8 -44290*x^7 -9889*x^6 -4734*x^5 -421*x^4 -103*x^3 -9*x^2 -4*x -1) / (x^16 -2588598*x^8 +1). - Colin Barker, Dec 20 2013 MATHEMATICA Denominator[Convergents[Sqrt[854], 30]] (* Vincenzo Librandi, Jan 26 2014 *) CROSSREFS Cf. A042648, A040824. Sequence in context: A061090 A061272 A117680 * A324024 A042381 A230743 Adjacent sequences: A042646 A042647 A042648 * A042650 A042651 A042652 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 December 9 12:57 EST 2023. Contains 367690 sequences. (Running on oeis4.)