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 A041558 Numerators of continued fraction convergents to sqrt(297). 2
 17, 69, 224, 293, 517, 1327, 1844, 3171, 11357, 48599, 1663723, 6703491, 21774196, 28477687, 50251883, 128981453, 179233336, 308214789, 1103877703, 4723725601, 161710548137, 651565918149, 2116408302584, 2767974220733, 4884382523317, 12536739267367 (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 (0,0,0,0,0,0,0,0,0,97198,0,0,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^19 -17*x^18 +69*x^17 -224*x^16 +293*x^15 -517*x^14 +1327*x^13 -1844*x^12 +3171*x^11 -11357*x^10 -48599*x^9 -11357*x^8 -3171*x^7 -1844*x^6 -1327*x^5 -517*x^4 -293*x^3 -224*x^2 -69*x -17) / (x^20 -97198*x^10 +1). - Colin Barker, Nov 10 2013 MATHEMATICA Numerator[Convergents[Sqrt[297], 30]] (* Vincenzo Librandi, Nov 04 2013 *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 97198, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {17, 69, 224, 293, 517, 1327, 1844, 3171, 11357, 48599, 1663723, 6703491, 21774196, 28477687, 50251883, 128981453, 179233336, 308214789, 1103877703, 4723725601}, 40] (* Harvey P. Dale, Jan 01 2014 *) CROSSREFS Cf. A041559. Sequence in context: A244630 A248894 A041556 * A327495 A183943 A180532 Adjacent sequences: A041555 A041556 A041557 * A041559 A041560 A041561 KEYWORD nonn,cofr,frac,easy AUTHOR EXTENSIONS More terms from Colin Barker, Nov 10 2013 STATUS approved

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Last modified March 23 23:09 EDT 2023. Contains 361454 sequences. (Running on oeis4.)