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 A042386 Numerators of continued fraction convergents to sqrt(720). 2
 26, 27, 134, 161, 8506, 8667, 43174, 51841, 2738906, 2790747, 13901894, 16692641, 881919226, 898611867, 4476366694, 5374978561, 283975251866, 289350230427, 1441376173574, 1730726404001, 91439149181626 (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 (0,0,0,322,0,0,0,-1). FORMULA G.f.: -(x^7-26*x^6+27*x^5-134*x^4-161*x^3-134*x^2-27*x-26)/((x^2-4*x-1)*(x^2+4*x-1)*(x^4+18*x^2+1)). [Colin Barker, Aug 09 2012] MATHEMATICA Numerator/@Convergents[Sqrt[720], 50] (* Harvey P. Dale, Jul 08 2011 *) CoefficientList[Series[- (x^7 - 26 x^6 + 27 x^5 - 134 x^4 - 161 x^3 - 134 x^2 - 27 x - 26)/((x^2 - 4 x - 1) (x^2 + 4 x - 1) (x^4 + 18 x^2 + 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 27 2013 *) CROSSREFS Cf. A042387. Sequence in context: A042382 A042380 A042378 * A042384 A042388 A042390 Adjacent sequences: A042383 A042384 A042385 * A042387 A042388 A042389 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. STATUS approved

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Last modified June 6 16:27 EDT 2023. Contains 363148 sequences. (Running on oeis4.)