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 A042512 Numerators of continued fraction convergents to sqrt(785). 2
 28, 1569, 87892, 4923521, 275805068, 15450007329, 865476215492, 48482118074881, 2715864088408828, 152136871068969249, 8522380643950686772, 477405452932307428481, 26743227744853166681708, 1498098159164709641604129, 83920240140968593096512932 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (56, 1). FORMULA a(n) = 56*a(n-1)+a(n-2) for n>1, a(0)=28, a(1)=1569. G.f.: (28+x)/(1-56*x-x^2). [Philippe Deléham, Nov 23 2008] a(n) = (1/2)*sqrt(785)*((28+sqrt(785))^n-(28-sqrt(785))^n)+14*((28-sqrt(785))^n+(28+sqrt(785))^n). [Paolo P. Lava, Nov 28 2008] MATHEMATICA Numerator[Convergents[Sqrt[785], 30]] (* Vincenzo Librandi, Nov 25 2013 *) CROSSREFS Cf. A042513, A040756. Sequence in context: A007222 A209265 A042515 * A285029 A163033 A060335 Adjacent sequences:  A042509 A042510 A042511 * A042513 A042514 A042515 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS Additional term from Colin Barker, Dec 17 2013 STATUS approved

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Last modified October 21 03:24 EDT 2019. Contains 328291 sequences. (Running on oeis4.)