A042146 Numerators of continued fraction convergents to sqrt(598).

24, 49, 220, 269, 4255, 8779, 135940, 144719, 714816, 1574351, 76283664, 154141679, 692850380, 846992059, 13397731265, 27642454589, 428034550100, 455677004689, 2250742568856, 4957162142401, 240194525404104, 485346212950609, 2181579377206540, 2666925590157149

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