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A042009 Denominators of continued fraction convergents to sqrt(527). 2
1, 1, 22, 23, 1034, 1057, 23231, 24288, 1091903, 1116191, 24531914, 25648105, 1153048534, 1178696639, 25905677953, 27084374592, 1217618160001, 1244702534593, 27356371386454, 28601073921047, 1285803623912522, 1314404697833569, 28888302278417471 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1056, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+23*x^2+1) / (x^8-1056*x^4+1). - Colin Barker, Nov 28 2013

a(n) = 1056*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 12 2014

MATHEMATICA

Denominator[Convergents[Sqrt[527], 40]] (* Vincenzo Librandi, Jan 12 2014 *)

PROG

(MAGMA) I:=[1, 1, 22, 23, 1034, 1057, 23231, 24288]; [n le 8 select I[n] else 1056*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Jan 12 2014

CROSSREFS

Cf. A042008, A040504.

Sequence in context: A042004 A042006 A042008 * A042010 A162334 A165483

Adjacent sequences:  A042006 A042007 A042008 * A042010 A042011 A042012

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 28 2013

STATUS

approved

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Last modified February 16 02:39 EST 2019. Contains 320140 sequences. (Running on oeis4.)