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A042101 Denominators of continued fraction convergents to sqrt(574). 2
1, 1, 23, 24, 1127, 1151, 26449, 27600, 1296049, 1323649, 30416327, 31739976, 1490455223, 1522195199, 34978749601, 36500944800, 1714022210401, 1750523155201, 40225531624823, 41976054780024, 1971124051505927, 2013100106285951, 46259326389796849 (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 (0,0,0,1150,0,0,0,-1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+24*x^2+1) / (x^8-1150*x^4+1). - Colin Barker, Dec 01 2013

a(n) = 1150*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[574], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

PROG

(MAGMA) I:=[1, 1, 23, 24, 1127, 1151, 26449, 27600]; [n le 8 select I[n] else 1150*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Jan 14 2014

CROSSREFS

Cf. A042100, A040550.

Sequence in context: A042098 A041263 A042100 * A042102 A156964 A147624

Adjacent sequences:  A042098 A042099 A042100 * A042102 A042103 A042104

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 01 2013

STATUS

approved

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Last modified March 22 12:39 EDT 2019. Contains 321421 sequences. (Running on oeis4.)