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A042171 Denominators of continued fraction convergents to sqrt(610). 2
1, 1, 3, 10, 53, 275, 878, 2031, 2909, 141663, 144572, 430807, 1436993, 7615772, 39515853, 126163331, 291842515, 418005846, 20356123123, 20774128969, 61904381061, 206487272152, 1094340741821, 5678190981257, 18128913685592, 41936018352441, 60064932038033 (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 (0,0,0,0,0,0,0,0,143694,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^16 - x^15 + 3*x^14 - 10*x^13 + 53*x^12 - 275*x^11 + 878*x^10 - 2031*x^9 + 2909*x^8 + 2031*x^7 + 878*x^6 + 275*x^5 + 53*x^4 + 10*x^3 + 3*x^2 + x + 1) / (x^18 + 143694*x^9 - 1). - Colin Barker, Dec 03 2013

MATHEMATICA

Denominator[Convergents[Sqrt[610], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 143694, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 3, 10, 53, 275, 878, 2031, 2909, 141663, 144572, 430807, 1436993, 7615772, 39515853, 126163331, 291842515, 418005846}, 30] (* Harvey P. Dale, Apr 21 2016 *)

CROSSREFS

Cf. A042170, A040585.

Sequence in context: A290489 A002873 A309910 * A133148 A189815 A143599

Adjacent sequences:  A042168 A042169 A042170 * A042172 A042173 A042174

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 03 2013

STATUS

approved

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Last modified August 26 01:47 EDT 2019. Contains 326324 sequences. (Running on oeis4.)