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A042019 Denominators of continued fraction convergents to sqrt(533). 2
1, 11, 12, 23, 265, 12213, 134608, 146821, 281429, 3242540, 149438269, 1647063499, 1796501768, 3443565267, 39675719705, 1828526671697, 20153469108372, 21981995780069, 42135464888441, 485472109552920, 22373852504322761, 246597849657103291, 268971702161426052 (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, 0, 0, 0, 12236, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^8-11*x^7+12*x^6-23*x^5+265*x^4+23*x^3+12*x^2+11*x+1) / (x^10+12236*x^5-1). - Colin Barker, Nov 29 2013

a(n) = 12236*a(n-5) + a(n-10) for n>9. - Vincenzo Librandi, Jan 12 2014

MATHEMATICA

Denominator[Convergents[Sqrt[533], 30]] (* Vincenzo Librandi, Jan 12 2014 *)

PROG

(MAGMA) I:=[1, 11, 12, 23, 265, 12213, 134608, 146821, 281429, 3242540]; [n le 10 select I[n] else 12236*Self(n-5)+Self(n-10): n in [1..30]]; // Vincenzo Librandi, Jan 12 2014

CROSSREFS

Cf. A042018, A040509.

Sequence in context: A042615 A041244 A041242 * A221644 A022316 A136433

Adjacent sequences:  A042016 A042017 A042018 * A042020 A042021 A042022

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified March 21 21:34 EDT 2019. Contains 321382 sequences. (Running on oeis4.)