A042512 Numerators of continued fraction convergents to sqrt(785).

28, 1569, 87892, 4923521, 275805068, 15450007329, 865476215492, 48482118074881, 2715864088408828, 152136871068969249, 8522380643950686772, 477405452932307428481, 26743227744853166681708, 1498098159164709641604129, 83920240140968593096512932

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]

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

N. J. A. Sloane.

Extensions

Additional term from Colin Barker, Dec 17 2013

Status

approved