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A042146 Numerators of continued fraction convergents to sqrt(598). 2
24, 49, 220, 269, 4255, 8779, 135940, 144719, 714816, 1574351, 76283664, 154141679, 692850380, 846992059, 13397731265, 27642454589, 428034550100, 455677004689, 2250742568856, 4957162142401, 240194525404104, 485346212950609, 2181579377206540, 2666925590157149 (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 (0,0,0,0,0,0,0,0,0,3148702,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -24*x^18 +49*x^17 -220*x^16 +269*x^15 -4255*x^14 +8779*x^13 -135940*x^12 +144719*x^11 -714816*x^10 -1574351*x^9 -714816*x^8 -144719*x^7 -135940*x^6 -8779*x^5 -4255*x^4 -269*x^3 -220*x^2 -49*x -24) / (x^20 -3148702*x^10 +1). - Colin Barker, Dec 02 2013

MATHEMATICA

Numerator[Convergents[Sqrt[598], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

CROSSREFS

Cf. A042147, A040573.

Sequence in context: A045279 A042142 A042144 * A042148 A042150 A087355

Adjacent sequences:  A042143 A042144 A042145 * A042147 A042148 A042149

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 21 14:54 EDT 2022. Contains 353921 sequences. (Running on oeis4.)