A042182 Numerators of continued fraction convergents to sqrt(616).

24, 25, 124, 149, 273, 1787, 2060, 3847, 17448, 21295, 1039608, 1060903, 5283220, 6344123, 11627343, 76108181, 87735524, 163843705, 743110344, 906954049, 44276904696, 45183858745, 225012339676, 270196198421, 495208538097, 3241447427003, 3736655965100

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,42590,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -24*x^18 +25*x^17 -124*x^16 +149*x^15 -273*x^14 +1787*x^13 -2060*x^12 +3847*x^11 -17448*x^10 -21295*x^9 -17448*x^8 -3847*x^7 -2060*x^6 -1787*x^5 -273*x^4 -149*x^3 -124*x^2 -25*x -24) / (x^20 -42590*x^10 +1). - Colin Barker, Dec 03 2013

Mathematica

Numerator[Convergents[Sqrt[616], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

Crossrefs

Cf. A042183, A040591.

Sequence in context: A042178 A042180 A042176 * A042184 A042186 A042188

Adjacent sequences: A042179 A042180 A042181 * A042183 A042184 A042185

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved