A042166 Numerators of continued fraction convergents to sqrt(608).

24, 25, 49, 74, 863, 937, 1800, 2737, 133176, 135913, 269089, 405002, 4724111, 5129113, 9853224, 14982337, 729005400, 743987737, 1472993137, 2216980874, 25859782751, 28076763625, 53936546376, 82013310001, 3990575426424, 4072588736425, 8063164162849

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, 5474, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -24*x^14 +25*x^13 -49*x^12 +74*x^11 -863*x^10 +937*x^9 -1800*x^8 -2737*x^7 -1800*x^6 -937*x^5 -863*x^4 -74*x^3 -49*x^2 -25*x -24) / ((x^8 -74*x^4 +1)*(x^8 +74*x^4 +1)). - Colin Barker, Dec 03 2013

Mathematica

Numerator[Convergents[Sqrt[608], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

Crossrefs

Cf. A042167, A040583.

Sequence in context: A022394 A042162 A042164 * A042158 A042160 A042156

Adjacent sequences: A042163 A042164 A042165 * A042167 A042168 A042169

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved