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A041598 Numerators of continued fraction convergents to sqrt(317). 2
17, 18, 89, 730, 819, 2368, 5555, 7923, 68939, 283679, 352618, 12272691, 12625309, 62773927, 514816725, 577590652, 1669998029, 3917586710, 5587584739, 48618264622, 200060643227, 248678907849, 8655143510093, 8903822417942, 44270433181861, 363067287872830 (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 (0,0,0,0,0,0,0,0,0,0,705236,0,0,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^21 -17*x^20 +18*x^19 -89*x^18 +730*x^17 -819*x^16 +2368*x^15 -5555*x^14 +7923*x^13 -68939*x^12 +283679*x^11 +352618*x^10 +283679*x^9 +68939*x^8 +7923*x^7 +5555*x^6 +2368*x^5 +819*x^4 +730*x^3 +89*x^2 +18*x +17) / (x^22 +705236*x^11 -1). - Colin Barker, Nov 19 2013

MATHEMATICA

Numerator[Convergents[Sqrt[317], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 705236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {17, 18, 89, 730, 819, 2368, 5555, 7923, 68939, 283679, 352618, 12272691, 12625309, 62773927, 514816725, 577590652, 1669998029, 3917586710, 5587584739, 48618264622, 200060643227, 248678907849}, 30] (* Harvey P. Dale, May 24 2015 *)

CROSSREFS

Cf. A041599, A040299.

Sequence in context: A041590 A041596 A041600 * A041602 A041604 A041606

Adjacent sequences:  A041595 A041596 A041597 * A041599 A041600 A041601

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 19 2013

STATUS

approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)