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 A041716 Numerators of continued fraction convergents to sqrt(378). 2
 19, 39, 136, 175, 836, 1011, 3869, 8749, 336331, 681411, 2380564, 3061975, 14628464, 17690439, 67699781, 153090001, 5885119819, 11923329639, 41655108736, 53578438375, 255968862236, 309547300611, 1184610764069, 2678768828749, 102977826256531, 208634421341811 (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 (0,0,0,0,0,0,0,17498,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^15 -19*x^14 +39*x^13 -136*x^12 +175*x^11 -836*x^10 +1011*x^9 -3869*x^8 -8749*x^7 -3869*x^6 -1011*x^5 -836*x^4 -175*x^3 -136*x^2 -39*x -19) / (x^16 -17498*x^8 +1). - Colin Barker, Nov 11 2013 MATHEMATICA Numerator[Convergents[Sqrt[378], 30]] (* Vincenzo Librandi, Nov 07 2013 *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 17498, 0, 0, 0, 0, 0, 0, 0, -1}, {19, 39, 136, 175, 836, 1011, 3869, 8749, 336331, 681411, 2380564, 3061975, 14628464, 17690439, 67699781, 153090001}, 30] (* Harvey P. Dale, Jun 01 2022 *) CROSSREFS Cf. A041717. Sequence in context: A195048 A299964 A041714 * A041718 A041720 A098850 Adjacent sequences: A041713 A041714 A041715 * A041717 A041718 A041719 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 11 2013 STATUS approved

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Last modified June 10 20:56 EDT 2023. Contains 363207 sequences. (Running on oeis4.)