A042421 Denominators of continued fraction convergents to sqrt(738).

1, 6, 325, 1956, 105949, 637650, 34539049, 207871944, 11259624025, 67765616094, 3670602893101, 22091382974700, 1196605283526901, 7201723084136106, 390089651826876625, 2347739634045395856, 127168029890278252849, 765355918975714912950

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,326,0,-1).

Formula

G.f.: -(x^2-6*x-1) / ((x^2-18*x-1)*(x^2+18*x-1)). - Colin Barker, Dec 12 2013

a(n) = 326*a(n-2) - a(n-4). - Wesley Ivan Hurt, Jan 20 2024

Mathematica

Denominator[Convergents[Sqrt[738], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

Crossrefs

Cf. A042420, A040708.

Sequence in context: A207816 A204462 A135397 * A221884 A003742 A324099

Adjacent sequences: A042418 A042419 A042420 * A042422 A042423 A042424

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 12 2013

Status

approved