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 A041564 Numerators of continued fraction convergents to sqrt(300). 2
 17, 52, 433, 1351, 46367, 140452, 1169983, 3650401, 125283617, 379501252, 3161293633, 9863382151, 338516286767, 1025412242452, 8541814226383, 26650854921601, 914670881560817, 2770663499604052, 23079978878393233, 72010600134783751, 2471440383461040767 (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 (0,0,0,2702,0,0,0,-1). FORMULA G.f.: -(x^7-17*x^6+52*x^5-433*x^4-1351*x^3-433*x^2-52*x-17) / ((x^4-52*x^2+1)*(x^4+52*x^2+1)). - Colin Barker, Nov 09 2013 a(n) = 2702*a(n-4) - a(n-8). - Wesley Ivan Hurt, Jan 20 2024 MATHEMATICA Numerator[Convergents[Sqrt[300], 30]] (* Vincenzo Librandi, Nov 04 2013 *) LinearRecurrence[{0, 0, 0, 2702, 0, 0, 0, -1}, {17, 52, 433, 1351, 46367, 140452, 1169983, 3650401}, 30] (* Harvey P. Dale, May 20 2021 *) CROSSREFS Cf. A041565. Sequence in context: A041562 A113915 A042295 * A286211 A213997 A062342 Adjacent sequences: A041561 A041562 A041563 * A041565 A041566 A041567 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 09 2013 STATUS approved

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Last modified May 23 17:39 EDT 2024. Contains 372765 sequences. (Running on oeis4.)