A042526 Numerators of continued fraction convergents to sqrt(792).

28, 197, 11060, 77617, 4357612, 30580901, 1716888068, 12048797377, 676449541180, 4747195585637, 266519402336852, 1870383011943601, 105007968071178508, 736926159510193157, 41372872900641995300

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,394,0,-1).

Formula

G.f.: (28 +197*x +28*x^2 -x^3)/(1 -394*x^2 +x^4). - Vincenzo Librandi, Nov 26 2013

a(n) = 394*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[792], 30]] (* or *) CoefficientList[Series[(28 + 197 x + 28 x^2 - x^3)/(1 - 394 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 25 2013 *)

Prog

(Magma) I:=[28, 197, 11060, 77617]; [n le 4 select I[n] else 394*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 26 2013

Crossrefs

Cf. A042527.

Sequence in context: A167581 A135826 A220152 * A184933 A233039 A246902

Adjacent sequences: A042523 A042524 A042525 * A042527 A042528 A042529

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved