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A042039 Denominators of continued fraction convergents to sqrt(543). 2
1, 3, 10, 33, 43, 635, 678, 2669, 8685, 28724, 1329989, 4018691, 13386062, 44176877, 57562939, 850058023, 907620962, 3572920909, 11626383689, 38452071976, 1780421694585, 5379717155731, 17919573161778, 59138436641065, 77058009802843, 1137950573880867 (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, 0, 0, 0, 0, 0, 1338674, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^18 -3*x^17 +10*x^16 -33*x^15 +43*x^14 -635*x^13 +678*x^12 -2669*x^11 +8685*x^10 -28724*x^9 -8685*x^8 -2669*x^7 -678*x^6 -635*x^5 -43*x^4 -33*x^3 -10*x^2 -3*x -1) / (x^20 -1338674*x^10 +1). - Colin Barker, Nov 30 2013

MATHEMATICA

Denominator[Convergents[Sqrt[543], 30]] (* Vincenzo Librandi, Jan 12 2014 *)

CROSSREFS

Cf. A042038, A040519.

Sequence in context: A174573 A126183 A174798 * A080697 A316404 A333027

Adjacent sequences:  A042036 A042037 A042038 * A042040 A042041 A042042

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 30 2013

STATUS

approved

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Last modified May 9 15:34 EDT 2021. Contains 343742 sequences. (Running on oeis4.)