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A042099 Denominators of continued fraction convergents to sqrt(573). 2
1, 1, 15, 16, 751, 767, 11489, 12256, 575265, 587521, 8800559, 9388080, 440652239, 450040319, 6741216705, 7191257024, 337539039809, 344730296833, 5163763195471, 5508493492304, 258554463841455, 264062957333759, 3955435866514081, 4219498823847840 (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, 766, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+16*x^2+1) / (x^8-766*x^4+1). - Colin Barker, Dec 01 2013

a(n) = 766*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[573], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

PROG

(MAGMA) I:=[1, 1, 15, 16, 751, 767, 11489, 12256]; [n le 8 select I[n] else 766*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Jan 14 2014

CROSSREFS

Cf. A042098, A040549.

Sequence in context: A041476 A041477 A041478 * A156530 A077033 A043669

Adjacent sequences:  A042096 A042097 A042098 * A042100 A042101 A042102

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 01 2013

STATUS

approved

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Last modified March 21 22:19 EDT 2019. Contains 321382 sequences. (Running on oeis4.)