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A041843 Denominators of continued fraction convergents to sqrt(443). 2
1, 21, 883, 18564, 780571, 16410555, 690023881, 14506912056, 609980330233, 12824093846949, 539221921902091, 11336484453790860, 476671568981118211, 10021439433057273291, 421377127757386596433, 8858941122338175798384 (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, 884, 0, -1).

FORMULA

G.f.: -(x^2-21*x-1) / (x^4-884*x^2+1). - Colin Barker, Nov 25 2013

a(n) = 884*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 25 2013

MATHEMATICA

Denominator[Convergents[Sqrt[443], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

PROG

(MAGMA) I:=[1, 21, 883, 18564]; [n le 4 select I[n] else 884*Self(n-2)-Self(n-4): n in [1..50]]; // Vincenzo Librandi, Dec 25 2013

CROSSREFS

Cf. A041842, A040421.

Sequence in context: A202810 A204196 A238653 * A041840 A012793 A015305

Adjacent sequences:  A041840 A041841 A041842 * A041844 A041845 A041846

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 19 08:44 EST 2019. Contains 329318 sequences. (Running on oeis4.)