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A042120 Numerators of continued fraction convergents to sqrt(585). 2
24, 121, 266, 387, 1814, 2201, 6216, 33281, 1603704, 8051801, 17707306, 25759107, 120743734, 146502841, 413749416, 2215249921, 106745745624, 535943978041, 1178633701706, 1714577679747, 8036944420694, 9751522100441, 27539988621576, 147451465208321 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,66562,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -24*x^14 +121*x^13 -266*x^12 +387*x^11 -1814*x^10 +2201*x^9 -6216*x^8 -33281*x^7 -6216*x^6 -2201*x^5 -1814*x^4 -387*x^3 -266*x^2 -121*x -24) / ((x^4 -16*x^2 -1)*(x^4 +16*x^2 -1)*(x^8 +258*x^4 +1)). - Colin Barker, Dec 02 2013

MATHEMATICA

Numerator/@Convergents[Sqrt[585], 30] (* Harvey P. Dale, May 05 2011 *)

CROSSREFS

Cf. A042121, A040560.

Sequence in context: A052605 A195917 A334189 * A002980 A244794 A044356

Adjacent sequences:  A042117 A042118 A042119 * A042121 A042122 A042123

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified May 27 04:19 EDT 2020. Contains 334647 sequences. (Running on oeis4.)