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A041617 Denominators of continued fraction convergents to sqrt(327). 2
1, 12, 433, 5208, 187921, 2260260, 81557281, 980947632, 35395672033, 425729012028, 15361640105041, 184765410272520, 6666916409915761, 80187762329261652, 2893426360263335233, 34801304085489284448, 1255740373437877575361 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 9 05:17 EDT 2020. Contains 335538 sequences. (Running on oeis4.)