A041617 Denominators of continued fraction convergents to sqrt(327).

1, 12, 433, 5208, 187921, 2260260, 81557281, 980947632, 35395672033, 425729012028, 15361640105041, 184765410272520, 6666916409915761, 80187762329261652, 2893426360263335233, 34801304085489284448, 1255740373437877575361

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, 434, 0, -1).

Formula

G.f.: -(x^2-12*x-1) / (x^4-434*x^2+1). - Colin Barker, Nov 20 2013

a(n) = 434*a(n-2) - a(n-4) for n>3, - Vincenzo Librandi, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[327], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

Prog

(Magma) I:=[1, 12, 433, 5208]; [n le 4 select I[n] else 434*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

Crossrefs

Cf. A041616, A040308.

Sequence in context: A221955 A070285 A241593 * A159534 A303922 A246502

Adjacent sequences: A041614 A041615 A041616 * A041618 A041619 A041620

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 20 2013

Status

approved